Home
Class 12
MATHS
Find the value of 'k', such that the fun...

Find the value of 'k', such that the function :
`f(x) = {:{(2x^(x+2)-16)/(4^x -16), if x ne2),(k, if x =2):}` is continuous at x =2

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos
  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

Determine the value of the constant k so that the function f(x) = {:{((sin2x)/(5x), if x ne 0),(k, if x = 0):} is continuous at x = 0

Determine the value of the constant k so that the function f(x) = {:{(2x^2 + k, if x ge0), (-2x^2 + 4, if x < 0):} is continuous at x = 0

Determine the value of the constant k so that the function f(x) = {:{(k(x^2+2), if x le 0),(3x+1, if x > 0):} is continuous at x = 0

The value of the constant k so that the function f(x)={((x^(2)-3x+2)/(x-1),",","if "xne1),(k,",","if "x=1):} is continuous at x = 1 is

The value of 'k' which makes the function defined by : f(x) = {:{(sin(1/x), if x ne0),(k,ifx=0):} continuous at x =0 is

If f(x) = {:{((x^3+x^2-16x+20)/((x-2)^2), x ne2), (k, x =2):} is continuous at x =2, find the value of 'k'.