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The value of f(0), so that the function ...

The value of f(0), so that the function
`f(x)=(1-cos(1-cosx))/(x^(4))` is continuous everywhere is

A

`1/2`

B

`1/4`

C

`1/6`

D

`1/8`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The value of f(0) so that the function f(x)= (cos a x - cos bx)/x^2 , x ne 0 is continuous is given by

    A
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    `(1)/(12)`
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    0
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  • The value of f(0) so that the function f(x) = (sqrt(1+x)-(1+x)^(1/3))/(x) becomes continuous is equal to

    A
    `1/6`
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