Home
Class 12
MATHS
The function defined by f(x)={((x^(2)+...

The function defined by
`f(x)={((x^(2)+e^((1)/(2-x)))^(-1)",",x ne 2),(k" ,",x =2):}` is continuous from right at the point x =2, then k is equal to

A

0

B

`1//4`

C

`-1//4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The function defined by f(x)={(((1)/(x^2+e^2-x))^(-1),xne2),(" "k" ,",x=2):} ,is continuous from right at the point x = 2 ,then k is equal to

The function defined by f(x)={:{((1+tan^(2)sqrt(x))^((1)/(2x))", for " x!=0),(k", for " x=0):} , is continuous from right at point x=0 , then k=

The function f:R^(+)rarr(1,e) defined by f(x)=(x^(2)+e)/(x^(2)+1) is

If f(x)={((x^(3)+x^(2)-16x+20)/((x-2)^(2))",",x ne 2),(k",", x =2):} is continuous at x = 2, then the value of k is

For what value of k, the function defined by f(x)={((log(1+2x)sin x^(@))/(x^(2))",", "for "x ne 0),(k",","for "x =0):} is continuous at x = 0 ?

f(x)={[(x^(2)+e^((1)/(2-x)))^(-1) is continuous from right at the point x=2 then k equals 0 b.1/4c.-1/4d .none of these

If f(x) = {(x^2+k,,,x ge 0),(-x^2-k,,,x lt 0):} is continuous at x = 0, then k is equal to