Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Period of $f left parenthesis x right parenthesis equals s i n invisible function application fraction numerator pi x over denominator left parenthesis n minus 1 right parenthesis factorial end fraction plus c o s invisible function application fraction numerator pi x over denominator n factorial end fraction$ Is

$n!$
2 $n!$
$2 (n - 1)!$
none of these

The correct answer is: 2 $n factorial$

$table row cell s i n invisible function application fraction numerator pi x over denominator open parentheses n minus 1 close parentheses factorial end fraction text end text text I end text text s end text text end text text a end text text end text text p end text text e end text text r end text text i end text text o end text text d end text text i end text text c end text text end text text f end text text u end text text n end text text c end text text t end text text i end text text o end text text n end text text end text text w end text text i end text text t end text text h end text text end text text p end text text e end text text r end text text i end text text o end text text d end text text end text end cell row cell 2 pi plus fraction numerator pi over denominator open parentheses n minus 1 close parentheses factorial end fraction equals 2 left parenthesis n minus 1 right parenthesis factorial end cell end table$
$table row cell text end text text P end text text e end text text r end text text i end text text o end text text d end text text end text text o end text text f end text text end text c o s invisible function application fraction numerator pi x over denominator n factorial end fraction equals 2 pi plus fraction numerator pi over denominator n factorial end fraction equals 2 n factorial end cell row cell text end text text L end text text. end text text end text text C end text text. end text text end text text M end text text. end text text end text text o end text text f end text text end text 2 left parenthesis n minus 1 right parenthesis factorial text end text text a end text text n end text text d end text text end text 2 left parenthesis n factorial right parenthesis end cell end table$
\ Period of f(x) is 2 (n !)

Related Questions to study

Consider the function $f left parenthesis x right parenthesis equals s g n invisible function application left parenthesis x right parenthesis text and end text g left parenthesis x right parenthesis equals x open parentheses 1 minus x to the power of 2 end exponent close parentheses$ then which of the following does not hold good?

Consider the function $f left parenthesis x right parenthesis equals s g n invisible function application left parenthesis x right parenthesis text and end text g left parenthesis x right parenthesis equals x open parentheses 1 minus x to the power of 2 end exponent close parentheses$ then which of the following does not hold good?

The domain of the function $square root of 1 minus f left parenthesis x right parenthesis end root text where end text f to the power of 3 end exponent left parenthesis x right parenthesis equals 1 minus x to the power of 3 end exponent minus 3 x f left parenthesis x right parenthesis. x element of R text is end text left parenthesis f left parenthesis 1 right parenthesis not equal to negative 1 right parenthesis$

The domain of the function $square root of 1 minus f left parenthesis x right parenthesis end root text where end text f to the power of 3 end exponent left parenthesis x right parenthesis equals 1 minus x to the power of 3 end exponent minus 3 x f left parenthesis x right parenthesis. x element of R text is end text left parenthesis f left parenthesis 1 right parenthesis not equal to negative 1 right parenthesis$

If $f left parenthesis x right parenthesis equals s i n to the power of negative 1 end exponent invisible function application x text and end text g left parenthesis x right parenthesis equals left square bracket s i n invisible function application x left parenthesis c o s invisible function application x right parenthesis right square bracket plus left square bracket c o s invisible function application left parenthesis s i n invisible function application x right parenthesis right square bracket comma text end text$ then range of f(g(x)) is

If $f left parenthesis x right parenthesis equals s i n to the power of negative 1 end exponent invisible function application x text and end text g left parenthesis x right parenthesis equals left square bracket s i n invisible function application x left parenthesis c o s invisible function application x right parenthesis right square bracket plus left square bracket c o s invisible function application left parenthesis s i n invisible function application x right parenthesis right square bracket comma text end text$ then range of f(g(x)) is

parallel

Domain of the function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator square root of l n invisible function application c o t to the power of negative 1 end exponent invisible function application x end root end fraction$ is

Domain of the function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator square root of l n invisible function application c o t to the power of negative 1 end exponent invisible function application x end root end fraction$ is

If $f colon left parenthesis 0 comma pi right parenthesis rightwards arrow R$ defined by $f open parentheses x close parentheses equals stretchy sum from k equals 1 to n of open square brackets 1 plus sin invisible function application k x close square brackets comma$ where [x] denotes the integral part of x, then range of f(x) is

If $f colon left parenthesis 0 comma pi right parenthesis rightwards arrow R$ defined by $f open parentheses x close parentheses equals stretchy sum from k equals 1 to n of open square brackets 1 plus sin invisible function application k x close square brackets comma$ where [x] denotes the integral part of x, then range of f(x) is

If [x] denotes the integral part of x, then domain of the function $f left parenthesis x right parenthesis equals fraction numerator square root of 3 minus x end root over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis left parenthesis x minus 3 right parenthesis end fraction plus s i n to the power of negative 1 end exponent invisible function application open square brackets fraction numerator 3 x minus 2 over denominator 2 end fraction close square brackets$ is

If [x] denotes the integral part of x, then domain of the function $f left parenthesis x right parenthesis equals fraction numerator square root of 3 minus x end root over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis left parenthesis x minus 3 right parenthesis end fraction plus s i n to the power of negative 1 end exponent invisible function application open square brackets fraction numerator 3 x minus 2 over denominator 2 end fraction close square brackets$ is

parallel

The domain of the function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator square root of vertical line t a n invisible function application x vertical line minus t a n invisible function application x end root end fraction$ is

The domain of the function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator square root of vertical line t a n invisible function application x vertical line minus t a n invisible function application x end root end fraction$ is

The domain of definition of the function $Error converting from MathML to accessible text.$

The domain of definition of the function $Error converting from MathML to accessible text.$

Let $f colon left square bracket negative 1 , 1 right square bracket rightwards arrow R$ be a function defined as $y equals f left parenthesis x right parenthesis text and end text g left parenthesis x right parenthesis equals l o g subscript 2 e end subscript invisible function application left square bracket x right square bracket$ ; ([.] denotes greatest integer function) then number of integers in the domain of f (g(x)) is/are

Let $f colon left square bracket negative 1 , 1 right square bracket rightwards arrow R$ be a function defined as $y equals f left parenthesis x right parenthesis text and end text g left parenthesis x right parenthesis equals l o g subscript 2 e end subscript invisible function application left square bracket x right square bracket$ ; ([.] denotes greatest integer function) then number of integers in the domain of f (g(x)) is/are

parallel

Statement - I : Let f(x) be a function such that $f left parenthesis x minus 1 right parenthesis plus f left parenthesis x plus 1 right parenthesis equals square root of 2 f left parenthesis x right parenthesis$ for all x $element of$ R then f is periodic
Statement - II : There exists a function with period 8

Statement - I : Let f(x) be a function such that $f left parenthesis x minus 1 right parenthesis plus f left parenthesis x plus 1 right parenthesis equals square root of 2 f left parenthesis x right parenthesis$ for all x $element of$ R then f is periodic
Statement - II : There exists a function with period 8

An ellipse has foci at (9, 20) and (49, 55) in the xy-plane and is tangent to the x axis. The length of its major axis is :

An ellipse has foci at (9, 20) and (49, 55) in the xy-plane and is tangent to the x axis. The length of its major axis is :

If the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent minus 3 end fraction minus fraction numerator y to the power of 2 end exponent over denominator a plus 4 end fraction equals 1$ is inscribed in square of side length $a square root of 2 comma$ then a is

If the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent minus 3 end fraction minus fraction numerator y to the power of 2 end exponent over denominator a plus 4 end fraction equals 1$ is inscribed in square of side length $a square root of 2 comma$ then a is

parallel

The area of the quadrilateral formed by the tangents at the ends of latus-rectum of $5 x to the power of 2 end exponent plus 9 y to the power of 2 end exponent equals 45$ is

The area of the quadrilateral formed by the tangents at the ends of latus-rectum of $5 x to the power of 2 end exponent plus 9 y to the power of 2 end exponent equals 45$ is

In the standard ellipse, the lines joining the ends of the minor axis to one focus are at right angles. The distance between the focus and the nearer vertex is $square root of 10 minus square root of 5$ The equation of the ellipse

In the standard ellipse, the lines joining the ends of the minor axis to one focus are at right angles. The distance between the focus and the nearer vertex is $square root of 10 minus square root of 5$ The equation of the ellipse

Three metal ions x⁺², y⁺², z⁺² are identify in qualitative analysis. Nitrates of x⁺², y⁺², z⁺² dissolve in three seprate test tubes and gives following observation.
i) All solution produce carbonate precipitate with (NH₄)₂CO₃
ii) Only one produce white ppt on addition of NaCl.
iii) Out of 3 cations two produce sulphide ppt.
iv) Sulphide of y⁺² is not produce by H₂S/H⁺but produce when H₂S is passed in basic medium.
v) Only y⁺² produce soluble sulphate
vi) x ⁺² gives no ppt with dil NH₄OH
Select correct about xCO₃ , y CO₃ , z CO₃ -

Three metal ions x⁺², y⁺², z⁺² are identify in qualitative analysis. Nitrates of x⁺², y⁺², z⁺² dissolve in three seprate test tubes and gives following observation.
i) All solution produce carbonate precipitate with (NH₄)₂CO₃
ii) Only one produce white ppt on addition of NaCl.
iii) Out of 3 cations two produce sulphide ppt.
iv) Sulphide of y⁺² is not produce by H₂S/H⁺but produce when H₂S is passed in basic medium.
v) Only y⁺² produce soluble sulphate
vi) x ⁺² gives no ppt with dil NH₄OH
Select correct about xCO₃ , y CO₃ , z CO₃ -

chemistry-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.