Home
Class 12
MATHS
Let f(x) = {:{((x^2-16)/(x-4),if ,xne4),...

Let f(x) = `{:{((x^2-16)/(x-4),if ,xne4),(k,if , x =4):}`
The the value of k which will make f (x) continuous at x = 4 is

A

4

B

6

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    KCET PREVIOUS YEAR PAPERS|Exercise MCQs|59 Videos
  • MODEL TEST PAPER - 7

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = {((tanx - cotx)/(x-pi/4), xne pi/4),(a, x = pi/4):} . The value of 'a' so that f(x) is continuous at x = pi/4 is

If f(x) = {((1-cos 4x)/x^(2), x lt 0),(a, x =0),((sqrtx)/(sqrt(16+sqrt(x))-4), xgt 0):} then the value of a for which f(x) is continuous at x = 0 is

Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) = k . The value of k which makes f continuous at pi//2 is :

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

Let f(x) = {(x^(4)-5x^(2)+4)/(|(x-1)(x-2)|) x ne 1,2),(6, x=1), (12, x =2):} . Then, f(x) is continuous on the set

if f(x)={((log_(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, then the value of k is

If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x = 2, then k =

If f(x)={{:((log_ex)/(x-1),,,x ne 1),(k,,,x=1):} is continuous at x = 1 , then the value of k is