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

(a) `1/2`

B

(b) `1/4`

C

(c) `1/6`

D

(d) `1/8`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

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

The value of f(0) so that the function f(x) = (log(sec^2 x))/(x sin x), x != 0 , is continuous at x = 0 is

The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x)^(1//5)-2)(x!=0) is continuous, is given

The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , x ne 0 is continuous at x =0 is

In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, f(0) must be defined as

The domain of the function f(x)=sqrt(cos^(- 1)((1-|x|)/2)) is

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f(0) must be defined as

If the function f(x) = (1-sinx)/(pi-2x)^2 , x!=pi/2 is continuous at x=pi/4 , then find f(pi/2) .

If the function f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0) is continuous at x = 0, then f(0) is equal to -