Home
Class 12
MATHS
If f'(2^+) = 0 and f'(2^-)=0, then is f(...

If `f'(2^+) = 0` and `f'(2^-)=0`, then is `f(x)` continuous at `x=2` ?

Text Solution

Verified by Experts

The correct Answer is:
x = 2
Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group B (60 Marks) |25 Videos
  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos
  • CHSE ODISHA EXAMINATION PAPER - 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos
  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

Similar Questions

Explore conceptually related problems

Is f(x) = x^(3) continuous at x = 2 ?

If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

Show that the function f(x)=2x-|x| is continuous at x=0 .

If f(x) = {((1-cos4x)/x^2, when x 0):} . is continuous at x=0, then the value of a will be.

If 'f(x)= {((1-cos4x)/(x^2)),whenx 0):} , and f is continuous at x=0, then find the value of k.

Is the function f defined by f(x)={(x", if "xle1),(5", if "xgt1):} continuous at x=0, at x=1 and at x=2 ?

For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k", if "x=0):} is continuous at x=0 ?