In order that the function f(x) = (x+1)^...

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

A

(a) `f(0) = 0`

B

(b) `f(0) = e`

C

(c) `f(0) = 1/e`

D

(d) `f(0) = 1`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

If f(x) = (2x+ tanx)/(x) , x!=0 , is continuous at x = 0, then f(0) equals

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

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

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

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