The function f(x)=(x^2-1)/(x^3-1) is not...

The function `f(x)=(x^2-1)/(x^3-1)` is not defined for x=1. The value of f(1) so that the function extended by this value is continuous is

A

`-(3)/(2)`

B

`2/3`

C

`3/2`

D

`-(2)/(3)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The function f(x) = (x-1)^(1/((2-x)) is not defined at x = 2. The value of f(2) so that f is continuous at x = 2 is

The value of f(0), so that the function f(x) = (1-cos (1-cosx))/(x^4) is continuous everywhere , is

The value of f(0) so that the function f(x)=(1)/(x)-(1)/(sinx) is continuous at x = 0 is ________

The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4)) is continuous everywhere is

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi . The value of f(pi) so that f(x) is continuous at x=pi is

the function f(x)=3x-1,x 2 is continuous on

The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined at x = pi . The value of f(pi) , so that f(x) is continuous at x = pi is

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi . The value of f(pi) , so that f(x) is continuous at x=pi , is

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is nto defined at x=pi . The value of f(pi) so that f(x) is continuous at x=pi is:

The value of f(0) such that the function f(x)=(root3(1+2x)-root4(1+x))/(x) is continuous at x = 0, is