Home
Class 12
MATHS
The function f(x) =(1)/(x-5) is not cont...

The function `f(x) =(1)/(x-5)` is not continuous at x=5. Justify the statement.

Text Solution

Verified by Experts

The correct Answer is:
x=5
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise CONTINUITY ( SHORT ANSWER TYPE QUESTIONS-I)|3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise CONTINUITY ( LONG ANSWER TYPE QUESTIONS-I)|25 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x) = 5x - 3 is continuous at x = 0, at x = -3 and at x = 5.

The function f(x) = 1-x^(3)-x^(5) is decreasing for

The value of f(0) so that the function f(x) = (2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at each point of its domain

The function f(x) = (log (1+ax) - log(1-bx))/(x) is not defined at x = 0. The value which should be assigned to f at x = 0 so that it is continuous at x = 0 is :

The function f(x)=(log(1+ax)-log(1-bx))/x is not defined at x=0 . The value which should be assigned to f at x=0 so that it is continuous at x=0 is

(b) Find the value of K so that the function f(x)=[(Kx+1),(3x-5),if xle5,ifxgt5] atx=5 is a continuous function.

If the function f(x) = {(1-cos x)/(x^(2)) for x ne 0 is k for x = 0 continuous at x = 0, then the value of k is

If the function f(x) = [((cos x)^(1//x),x ne 0),(k,x = 0):} is continuous at x = 0, value of k is :

Is the function defined by f(x)= |x| , a continuous function?