Home
Class 12
MATHS
The function f(x)=x^(k) is continuous at...

The function `f(x)=x^(k)` is continuous at x = k when -

A

`kne0`

B

`klt0`

C

`kle0`

D

`kge0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Very short Answer Type Questions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise EXERCISE 2A ( short Answer Type Questions)|8 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos

Similar Questions

Explore conceptually related problems

The function f (x) is continuous at x = 0 of -

Prove that the function f (x) = 5 is continuous at x = 2 .

For what value of f (4) the function f(x)=(x^(2)-16)/(x-4) is continuous at x = 4 ?

A function f (x) is defined as follows: f(x)={{:(x^(4)-3,"when " xle2),(x^(3)+5,"when "xgt2):} Prove that the function f (x) is continuous at x = 2 .

Show that the function f(x)=|sinx+cosx| is continuous at x = pi .

Let f(x+y)=f(x)+f(y) for all xa n dydot If the function f(x) is continuous at x=0, show that f(x) is continuous for all xdot

If the following function f (x) is continuous at x = 0 , find k : f(x)={{:((1-cos2mx)/(2x^(2)),"when " xne0),(" " k,"when " x =0):}

Show that the function f(x)=x|x| is continuous and differentiable at x = 0

A function f(x) satisfies the following property: f(xdoty)=f(x)f(y)dot Show that the function f(x) is continuous for all values of x if it is continuous at x=1.

Let f(x)={((sin pix)/(5x),"when "x ne 0),(k,"when "x=0):} If f(x) is continuous at x=0, then the value of k is -