Home
Class 12
MATHS
If function defined by : f(x)= {((sin5x)...

If function defined by : `f(x)= {((sin5x)/(3x),,x,ne,0),(k+1,,x,=,0):}` is continuous at x = 0, then value of k is :

Text Solution

Verified by Experts

The correct Answer is:
`2/3`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (TRUE OR FALSE QUESTIONS (TYPE-III))|13 Videos
  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|17 Videos
  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (MCQ.s (TYPE-I))|28 Videos
  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos
  • DEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

Similar Questions

Explore conceptually related problems

If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

If function defined by : f(x)= {((sin3x)/(4x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

If f(x) = {((sin 5x)/(2x),,x,ne,0),(k,,x,=,0):} is continuous at x = 0 then value of k is :

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

If the function f is defined by f(x) = {(5,,x,ne,0),(a-1,,x,=,0):} and f is continuous at x = 0, then value of a is :

If the function f is defined by f(x) = {(3,,x,ne,0),(a+1,,x,=,0):} and f is continuous at x = 0, then value of a is :

If the function f is defined by f(x) = {(7,,x,ne,0),(a-2,,x,=,0):} and f is continuous at x = 0, then value of a is :

If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",", x = 0):} is continuous at x = 0 , then value of k is

If f(x) = {((tan3x)/(x),,, x!=0,),(4k,,,x,=0):} is continuous at x=0' then K=