Home
Class 12
MATHS
For the function f(x) = (log(e )(1+x)-lo...

For the function `f(x) = (log_(e )(1+x)-log_(e )(1-x))/(x)` to be continuous at x = 0, the value of f(0) should be

A

(a) `-1`

B

(b) `0`

C

(c) `-2`

D

(d) `2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = (e^(x^2)-cos x)/(x^(2)), "for" x != 0 is continuous at x = 0, then value of f(0) is

The function f(x) = (log(1+ax)-log(1-bx))/(x) is not defined at x = 0. The value which should be assigned to f at x = 0 so that it is continuous at x = 0, is

If f(x) = (log_(e)(1+x^(2)tanx))/(sinx^(3)), x != 0 is continuous at x = 0 then f(0) must be defined as

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is

If f(x) = (e^(x)-e^(sinx))/(2(x sinx)) , x != 0 is continuous at x = 0, then f(0) =

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 f(x) = {((log_(e )x)/(x-1), ",", x != 1),(k, ",", x = 1):} is continuous at x = 1, then the value of k is

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