Home
Class 11
MATHS
The function f(x)={{:((x^(2)-1)/(x^(3)+1...

The function `f(x)={{:((x^(2)-1)/(x^(3)+1)" "xne1),(P" "x=-1):}` is not defined for x = -1.
The value of f(-1) so that the function extended by this value is continuous is

A

`2/3`

B

`-2/3`

C

1

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - A)|9 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - B)|5 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.5|29 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos
  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-D (5 MARKS)|4 Videos

Similar Questions

Explore conceptually related problems

The function f(x)={:{((x^2-1)/(x^3+1),x ne -1),(P, x=-1):} is not defined for x=-1. The value of f(-1) so that the function extended by this value is continuous is……..

The function f(x)=(x^(2)-1)/(x^(3)-1) is not defined at x = 1. What value must we give f(1) in order to make f(x) continuous at x = 1?

Show that the function {{:((x^(3)-1)/(x-1)", ""if "xne1),(3", ""if "x=1):} is continuous on (-oo,oo)

The function f(x)=(x^2-1)/(x^3-1) is not defined at x=1. What value must we give f(1) in order to make f(x) continuous at x=1?

The function f(x)=(x^2 -1)/(x^3 -1) is not defined at x=1.What value must we give f(1) in oreder to make f(x)continuous at x=1?

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.

For what value of alpha is this function f(x)={{:((x^(4)-1)/(x-1)", ""if "xne1),(alpha", ""if "x=1):} continuous at x = 1?

For what value of a is this function f(x){:{((x^4-1)/(x-1)if,x ne 1),(aif,x=1):} continuous at x=1?