Home
Class 12
MATHS
The function f(x)=(2x^(2)-8)/(x-2) is un...

The function `f(x)=(2x^(2)-8)/(x-2)` is undefined at x=2 . What value must be assigned to f (2) , if f (x) is to be cotinuous at x =2 ?

Text Solution

Verified by Experts

The correct Answer is:
Therefore , the required assigned value of f (2) is 8 .
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Multiple Choice Type questions)|6 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Very short Answer Type Questions)|16 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos

Similar Questions

Explore conceptually related problems

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^2(x-2)^2

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 ?

For the function f(x)=2x^2-In|x|

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?

The function f(x)=(x^(3)-8)/(x^(2)-4) is undefined at x =2 . Redefine the function so as to make it cotinuous at x=2.

The funtion f(x)=(x^3-8)/(x^2-4) is undefined at x=2. Redefine the funtion so as to make it continuous at x=2

If f(x)=(x^(2)-a^(2))/(x-a) then f(a) =

the function f(x)=(x^2+4x+30)/(x^2-8x+18) is not one-to-one.

For what value of f (4) the function f(x)=(x^(2)-16)/(x-4) is continuous at x = 4 ?