Maths-
General
Easy

Question

If stack l i m with n rightwards arrow infinity below   fraction numerator n to the power of k end exponent s i n to the power of 2 end exponent invisible function application n factorial over denominator n plus 1 end fraction equals 0 for

  1. All k    
  2. 0 less or equal than k less than 1    
  3. k = 1    
  4. For k > 1    

The correct answer is: 0 less or equal than k less than 1


    stack l i m with n rightwards arrow infinity below   fraction numerator n to the power of k end exponent s i n to the power of 2 end exponent invisible function application n factorial over denominator n plus 1 end fraction equals 0 equals stack l i m with n rightwards arrow infinity below fraction numerator n to the power of k end exponent over denominator n plus 1 end fraction times left parenthesis s i n to the power of 2 end exponent n factorial right parenthesis
    stack l i m with n rightwards arrow infinity below s i n to the power of 2 end exponent n factorial does not exist but ii
    stack l i m with n rightwards arrow infinity below fraction numerator n to the power of k end exponent over denominator n plus 1 end fraction equals 0, then stack l i m with n rightwards arrow infinity below fraction numerator n to the power of k end exponent s i n to the power of 2 end exponent n factorial over denominator n plus 1 end fraction equals 0
    But
    stack l i m with n rightwards arrow infinity below   fraction numerator n to the power of k end exponent over denominator n plus 1 end fraction equals 0 left right double arrow 0 less or equal than k less than 1
    Hence, the correct answer is option (B) .

    Related Questions to study

    General
    Maths-

    stack l i m with x rightwards arrow 0 below   fraction numerator vertical line x plus 1 vertical line plus vertical line x minus 1 vertical line minus 2 over denominator chi end fraction equals

    stack l i m with x rightwards arrow 0 below   fraction numerator vertical line x plus 1 vertical line plus vertical line x minus 1 vertical line minus 2 over denominator chi end fraction equals

    Maths-General
    General
    Chemistry-

    Activation energy of the reaction is:

    Activation energy of the reaction is:

    Chemistry-General
    General
    Maths-

    The function m a x blank left curly bracket 1 minus chi comma blank right square bracket plus x comma blank 2 right curly bracket i s

    The function m a x blank left curly bracket 1 minus chi comma blank right square bracket plus x comma blank 2 right curly bracket i s

    Maths-General
    parallel
    General
    Maths-

    Let f left parenthesis x right parenthesis equals left curly bracket] plus blank s i n blank x l for all 0 less or equal than x less or equal than pi divided by 2 for all x less than 0 Then what is the value
    of f to the power of ´ end exponent left parenthesis x right parenthesis at x equals 0 to the power of 7 end exponent

    Let f left parenthesis x right parenthesis equals left curly bracket] plus blank s i n blank x l for all 0 less or equal than x less or equal than pi divided by 2 for all x less than 0 Then what is the value
    of f to the power of ´ end exponent left parenthesis x right parenthesis at x equals 0 to the power of 7 end exponent

    Maths-General
    General
    Maths-

    lf f left parenthesis x right parenthesis equals left curly bracket subscript b left parenthesis x minus 1 right parenthesis to the power of 2 end exponent comma x greater or equal than 0 end subscript superscript e to the power of chi end exponent plus o x comma x less than 0 end superscript is differentiable at x equals 0 comma then (0, b) is

    lf f left parenthesis x right parenthesis equals left curly bracket subscript b left parenthesis x minus 1 right parenthesis to the power of 2 end exponent comma x greater or equal than 0 end subscript superscript e to the power of chi end exponent plus o x comma x less than 0 end superscript is differentiable at x equals 0 comma then (0, b) is

    Maths-General
    General
    Maths-

    A function f on R intto itself is continuous at a point 0 iin R, iif for each element of greater than 0, there exists, delta greater than 0 such that

    A function f on R intto itself is continuous at a point 0 iin R, iif for each element of greater than 0, there exists, delta greater than 0 such that

    Maths-General
    parallel
    General
    General

    Neither Paul nor Stephen should forget to thank ________ mentors during the speech.

    Neither Paul nor Stephen should forget to thank ________ mentors during the speech.

    GeneralGeneral
    General
    Chemistry-

    which have enough energy to form products n. Which of the following has been used to explain the subject of chemical kinetics?

    which have enough energy to form products n. Which of the following has been used to explain the subject of chemical kinetics?

    Chemistry-General
    General
    Chemistry-

    The rate of reaction that does not involve gases, is not dependent on:

    The rate of reaction that does not involve gases, is not dependent on:

    Chemistry-General
    parallel
    General
    Maths-

    1I f left parenthesis x right parenthesis equals left curly bracket fraction numerator 1 minus blank c o s blank x over denominator chi k end fraction r subscript X equals 0 end subscript x not equal to 0 is continuous at x=0, tthen k=

    1I f left parenthesis x right parenthesis equals left curly bracket fraction numerator 1 minus blank c o s blank x over denominator chi k end fraction r subscript X equals 0 end subscript x not equal to 0 is continuous at x=0, tthen k=

    Maths-General
    General
    Maths-

    The function f left parenthesis x right parenthesis equals fraction numerator 1 minus blank s i n blank x plus blank c o s blank x over denominator 1 plus blank s i n blank x plus blank c o s blank x end fraction is not defined at x equals pi blankThe value of left parenthesis pi right parenthesis , so that f(x) is continuous at x equals pi, is

    The function f left parenthesis x right parenthesis equals fraction numerator 1 minus blank s i n blank x plus blank c o s blank x over denominator 1 plus blank s i n blank x plus blank c o s blank x end fraction is not defined at x equals pi blankThe value of left parenthesis pi right parenthesis , so that f(x) is continuous at x equals pi, is

    Maths-General
    General
    Maths-

    If function f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell chi comma blank i f blank chi blank i s blank r a t i o n a l end cell row cell t h e n blank f left parenthesis x right parenthesis blank i s blank c o n t i n short dash end cell row cell 1 minus chi comma blank i i blank x i s blank i r r r a t i o n a blank l to the power of blank l end exponent end cell end table close continuous at—number of points.

    If function f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell chi comma blank i f blank chi blank i s blank r a t i o n a l end cell row cell t h e n blank f left parenthesis x right parenthesis blank i s blank c o n t i n short dash end cell row cell 1 minus chi comma blank i i blank x i s blank i r r r a t i o n a blank l to the power of blank l end exponent end cell end table close continuous at—number of points.

    Maths-General
    parallel
    General
    Maths-

    If the function f left parenthesis x right parenthesis equals left curly bracket subscript 4 x to the power of 2 end exponent plus 3 b x end subscript 5 x minus 4 comma comma ifif 0 less than x less or equal than 11 less than x less than 2 is continuous at every point of its domain, then the value of b is

    If the function f left parenthesis x right parenthesis equals left curly bracket subscript 4 x to the power of 2 end exponent plus 3 b x end subscript 5 x minus 4 comma comma ifif 0 less than x less or equal than 11 less than x less than 2 is continuous at every point of its domain, then the value of b is

    Maths-General
    General
    Maths-

    If f left parenthesis x right parenthesis equals left curly bracket stack x minus vertical line x vertical line with _ below, when chi not equal to 0 χ , then 2, when χ=0

    If f left parenthesis x right parenthesis equals left curly bracket stack x minus vertical line x vertical line with _ below, when chi not equal to 0 χ , then 2, when χ=0

    Maths-General
    General
    Maths-

    A so lid piece of metal in the form of a Cuboid of dimes ions 24 cm x 18 cm x 4 cm is melted down and casted into a cube Find length of each edge of cube.

    For such questions, we should know formula of volumes of different shapes.

    A so lid piece of metal in the form of a Cuboid of dimes ions 24 cm x 18 cm x 4 cm is melted down and casted into a cube Find length of each edge of cube.

    Maths-General

    For such questions, we should know formula of volumes of different shapes.

    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.