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Let f(x)=((e^(kx)-1).sinKx)/x^2 for x!=0...

Let `f(x)=((e^(kx)-1).sinKx)/x^2` for `x!=0;=4,` for `x=0` is continuous at `x=0` then `k`

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Knowledge Check

  • f (x) = ((e^(kx)-1)(sin kx))/(4x^(2)) , x ne 0, f(0) = 9 , is continuous at x = 0 , then k =

    A
    `pm 2`
    B
    `pm 6`
    C
    `pm 4`
    D
    `pm 8`

  • If the function f(x)=((e^(kx)-1)tankx)/(4x^(2)),x ne 0 =16" "x=0 is continuous at x=0, then k= . . .

    A
    `+-(1)/(8)`
    B
    `+-4`
    C
    `+-2`
    D
    `+-8`

  • If {:(f(x),=((e^(kx)-1)^(2)sinx)/(x^(3)),",",x != 0),(,=4, ",",x = 0):} is continuous at x = 0, then k =

    A
    2
    B
    `-2`
    C
    `+- 2`
    D
    3

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