Home
Class 12
MATHS
The function f(x) = {{:(sin(ln |x|), x n...

The function `f(x) = {{:(sin(ln |x|), x ne 0),(1, x=0):}`

A

is continous at x=0

B

has removable discontinuity at x=0

C

has jump discontinuity at x =0

D

has discontinuity of II nd type at x=0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - D: IVT)|1 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - E THEOREMS OF CONTINUITY)|2 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - B CONTINUITY OF A FUNCTION IN AN INTERVAL)|3 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

Show that the function f(x) ={:{((sin 3x)/(x)", "x ne 0),(1", " x= 0):}, is discontinuous at x=0.

Discuss the continuiy of the function f(x)={(1/x ", " x ne 0),(1", " x=0):} at x=0.

The function f(x)=sin(log_(e)|x|),x!=0 and 1 if x=0

Let f(x) = {:{ (x sin""(1/x) , x ne 0) , ( k , x = 0):} then f(x) is continuous at x = 0 if