Home
Class 12
MATHS
Examine the origin for continuity & deri...

Examine the origin for continuity & derivability in the case of the function f defined by `f(x)=xtan^(-1)(1/x), x!=0` and `f(0)=0`

Answer

Step by step text solution for Examine the origin for continuity & derivability in the case of the function f defined by f(x)=xtan^(-1)(1/x), x!=0 and f(0)=0 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|15 Videos
  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 2 (Level-II) Multiple Correct | JEE Advanced|8 Videos
  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos
  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

Similar Questions

Explore conceptually related problems

Examine the origin for continuity G derivability in the case of the function f defined by f(x)=x tan^(-1)((1)/(x)),x!=0 and f(0)=0

Discuss the continuity of the function f defined f(x)=(1)/(x),x!=0

Discuss the continuity of the function defined by f(x)={x+2, if x 0

Examine for continuity and differentiability the points x=1 and x=2, the function f defined by f(x)=[{:(X[X],",",0leX where[X]=greatest integer less than or equal to x.

Find the value of a' for which the function f defined by f(x)={a(sin pi)/(2)(x+1),quad x 0 is continuous at x=0

Examine whether the function f given by f(x)=x^(2) is continuous at x=0

Examine the continuity of the function f(x) at x=0 for f(x)=x/(2|x|) where x!=0

Test the continuity of the following function at the origin; f(x)={(x)/(|x|),x!=0 and 1,x=0

Examine whether the function f given by f(x)= x^(3) is continuous at x =0

Check the continuity of the following functions: f(x){(1)/(1-e^((1)/(x))),x!=0 and 0,x=0