Home
Class 12
MATHS
If the function f(x)=(2x-sin^(-1)x)/(2x+...

If the function `f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x)` is continuous at each point of its domain,
then the value of `f(0)`

A

2

B

`1/3`

C

`2/3`

D

`-1/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Domain of function f (x)= sin ^(-1) 5x is

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) = {((cosx)^(1/x), ",", x != 0),(k, ",", x = 0):} is continuous at x = 0, then the value of k is

If the function f(x) = {(5x-4, ",","if"0 lt x le 1),(4x^(2)+3bx, ",", "if"1 lt x le 2 ):} is continuous at every point of its domain, then the value of b is

If the function f(x) = (cos^(2)x - sin^(2)x-1)/(sqrt(x^(2)+1)-1), x != 0 , is continuous at x = 0, then f(0) is equal to

Domain of the function f(x)=sqrt(2-2x-x^2) is

Find Domain of the function f(x)= sin^(- 1)(1+3x+2x^2)