Home
Class 12
MATHS
f(x)=(x^2-1)/(x^3-1)is undefined at x=1....

`f(x)=(x^2-1)/(x^3-1)`is undefined at x=1. What should be the value of f(x) at x=1 such that f(x) may be continuous at x=1?

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos
  • DEFINITE INTEGRATION

    PATHFINDER|Exercise QUESTION BANK|246 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=(x^(2)-4)/(x^(3)-8) is undefined at x =1 , what should be the value of f (1) such that f (x) may be continuous at x =1 ?

f(x)=(1)/(x)["log"(1+bx)-"log"(1-ax)] is not defined at x=0 . What value is to be assigned to f (0) so that f (x) will be continuous at x=0?

The function f(x)=(1)/(x)[log(1+5x)-log(1+3x)] is undefined at x = 0 . What value must be assigned to f (0) if f (x) is to be continuous at x = 0 .

The function f(x)=(x^(3)-1)/(x-1) is undefined at x = 1 . Redefine the function so as to makeit continuous at x = 1 .

If f(x) = x|x| , then the value of f'(-1) is -

Find the value of f(0) so that the function. f(x)=(sqrt(1+x)-1+x3)/x becomes continuous at x=0

If f (x) =(x-1)/(x+1), then the value of f (2x) in terms of f(x) is-

IF f(x)=x|x|,then the value of f'(-1)is

IF f(x)=log(3x+1), then the value of f'' (1) is-

2f(1/x) - f(x) = 5x , find the value of f(x + 1/x).