If the function f(x)=(sin10 x)/x , x!=0 ...

If the function `f(x)=(sin10 x)/x` , `x!=0` is continuous at `x=0` , find `f(0)` .

A

0

B

1

C

10

D

None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If the function f(x)=(sin3x+a sin 2x+b)/(x^(3)), x ne 0 is continuous at x=0 and f(0)=K, AA K in R , then b-a is equal to

If f(x)=(2x+3sin x)/(3x+2sin x),x!=0 is continuous at x=0, then find f(0)

If the function f(x)={{:(sinx,xne0),(k,x=0):} is continuous at x = 0 than find the value of k?

The value of k for which the function f(x)={(sin3x)/(x), if x!=0, k if x=0 is continuous at x=0 is

Define f(0) such that the function f(x)=(cos(sin x)-cos x)/(x^(2)),x!=0, is continuous at x=0

Determine the values of a,b,c for which the function f(x)={(sin(a+1)x+sin x)/(x) for x 0 is continuous at x=0

For what value of k is the function f(x)={(sin2x)/(x),quad x!=0k,quad x=0 continuous at x=0?

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

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is