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Maths-

General

Easy

Question

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator 1 minus cos space x over denominator x squared end fraction$

0
1
2
$\frac{1}{2}$

The correct answer is: 2

$limit as x rightwards arrow 0 of open parentheses fraction numerator 1 minus cos x over denominator x squared end fraction close parentheses equals limit as x rightwards arrow 0 of open parentheses fraction numerator 2 sin squared open parentheses begin display style x over 2 end style close parentheses over denominator x squared end fraction close parentheses equals limit as x rightwards arrow 0 of 2 over 4 cross times open parentheses fraction numerator sin squared open parentheses begin display style x over 2 end style close parentheses over denominator begin display style x squared over 2 squared end style end fraction close parentheses equals limit as x rightwards arrow 0 of 1 half open parentheses fraction numerator sin squared begin display style open parentheses x over 2 close parentheses end style over denominator begin display style open parentheses x over 2 close parentheses squared end style end fraction close parentheses equals 1 half limit as x rightwards arrow 0 of open parentheses fraction numerator sin begin display style x over 2 end style over denominator begin display style x over 2 end style end fraction close parentheses squared equals 1 half cross times 1 equals 1 half$

Related Questions to study

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator 3 sin space x to the power of 0 minus sin space 3 x to the power of 8 over denominator x cubed end fraction$

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator 3 sin space x to the power of 0 minus sin space 3 x to the power of 8 over denominator x cubed end fraction$

Gas masks containing activated charcoal to remove poisonous gases from atmosphere acts on the principle of :

Gas masks containing activated charcoal to remove poisonous gases from atmosphere acts on the principle of :

chemistry-General

Match the items in column I and column II and choose the correct option:

The correct match is:

Match the items in column I and column II and choose the correct option:

The correct match is:

parallel

If by mistake Ammeter is connected parallel to the resistance then i-v curve expected is (Here i = reading of ammeter, v=reading of voltmeter)

If by mistake Ammeter is connected parallel to the resistance then i-v curve expected is (Here i = reading of ammeter, v=reading of voltmeter)

physics-General

i v/s V curve for a non-ohmic resistance is shown. The dynamic resistance is maximum at point

i v/s V curve for a non-ohmic resistance is shown. The dynamic resistance is maximum at point

physics-General

If emf of battery is 100 V, then what was the resistance of Rheostat adjusted at reading ( i=2A,V=20V)

If emf of battery is 100 V, then what was the resistance of Rheostat adjusted at reading ( i=2A,V=20V)

physics-General

parallel

In the experiment, the curve between VX andVW is shown as dotted line (A) If we use an another wire of same material, but with double length and double radius. Which of the curve is expected.

In the experiment, the curve between VX andVW is shown as dotted line (A) If we use an another wire of same material, but with double length and double radius. Which of the curve is expected.

physics-General

The adjacent graph shows the extra extension (Vx) of a wire length 1m suspended from the top of a roof at one end with an extra load Vw connected to the other end . If the cross sectional area of the wire is $10 to the power of negative 6 end exponent m to the power of 2 end exponent$ , calculate the Young’s modulus of the material of the wire.

The adjacent graph shows the extra extension (Vx) of a wire length 1m suspended from the top of a roof at one end with an extra load Vw connected to the other end . If the cross sectional area of the wire is $10 to the power of negative 6 end exponent m to the power of 2 end exponent$ , calculate the Young’s modulus of the material of the wire.

physics-General

Catalyst only

Catalyst only

chemistry-General

parallel

If $text end text f colon left square bracket negative 2 comma 2 right square bracket rightwards arrow R text is end text$ defined by $f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator square root of 1 plus c x end root minus square root of 1 minus c x end root over denominator x end fraction comma text end text text f end text text o end text text r end text text end text minus 2 less or equal than x less than 0 end cell row cell fraction numerator x plus 3 over denominator x plus 1 end fraction comma text end text text f end text text o end text text r end text text end text 0 less or equal than x less or equal than 2 end cell end table close$ is continuous on [-2,2] then c =

If $text end text f colon left square bracket negative 2 comma 2 right square bracket rightwards arrow R text is end text$ defined by $f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator square root of 1 plus c x end root minus square root of 1 minus c x end root over denominator x end fraction comma text end text text f end text text o end text text r end text text end text minus 2 less or equal than x less than 0 end cell row cell fraction numerator x plus 3 over denominator x plus 1 end fraction comma text end text text f end text text o end text text r end text text end text 0 less or equal than x less or equal than 2 end cell end table close$ is continuous on [-2,2] then c =

$L subscript t not stretchy rightwards arrow 2 end subscript fraction numerator vertical line x minus 2 vertical line over denominator x minus 2 end fraction$

$L subscript t not stretchy rightwards arrow 2 end subscript fraction numerator vertical line x minus 2 vertical line over denominator x minus 2 end fraction$

Let $f left parenthesis x right parenthesis equals not stretchy integral fraction numerator x to the power of 2 end exponent d x over denominator left parenthesis 1 plus x to the power of 2 end exponent right parenthesis open parentheses 1 plus square root of 1 plus x to the power of 2 end exponent end root close parentheses end fraction$ and $f left parenthesis 0 right parenthesis equals 0$ , then the value of $f left parenthesis 1 right parenthesis$ be

Let $f left parenthesis x right parenthesis equals not stretchy integral fraction numerator x to the power of 2 end exponent d x over denominator left parenthesis 1 plus x to the power of 2 end exponent right parenthesis open parentheses 1 plus square root of 1 plus x to the power of 2 end exponent end root close parentheses end fraction$ and $f left parenthesis 0 right parenthesis equals 0$ , then the value of $f left parenthesis 1 right parenthesis$ be

parallel

Match correctly the following and choose the correct option

Match correctly the following and choose the correct option

Colloidal sol is :

Colloidal sol is :

chemistry-General

$L t subscript y not stretchy rightwards arrow 0 end subscript fraction numerator sin invisible function application left parenthesis a plus b x right parenthesis minus sin invisible function application left parenthesis a minus b x right parenthesis over denominator x end fraction$

$L t subscript y not stretchy rightwards arrow 0 end subscript fraction numerator sin invisible function application left parenthesis a plus b x right parenthesis minus sin invisible function application left parenthesis a minus b x right parenthesis over denominator x end fraction$

parallel

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