Home
Class 12
MATHS
If f(x)={:{((e^(1/x)-1)/(e^(1/x)+1)", fo...

If `f(x)={:{((e^(1/x)-1)/(e^(1/x)+1)", for " x !=0),(1", for " x=0):}`, then f is

A

continuous at `x=0`

B

discontinuous at `x=0`

C

continuous if `f(0)=-1`

D

discontinuous if `f(0)=-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos
  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous at x=0 , where f(x){:{((1)/(1+e^(1/x))", for " x!=0),(k", for " x=0):} , then k=

If f(x)={((1+2x)^(1//x)",","for " x ne 0),(e^(2)",", "for " x =0):} , then

The function f given by f(x)={((e^(1//x)-1)/(e^(1//x)+1)",","if",x ne 0),(0",","if", x =0):} , is

If f(x)={((1)/(1+e^(1//x))"," ,x ne 0),(0",", x =0):} then f(x) is :

If f(x)={{:((e^((2)/(x))-1)/(e^((2)/(x))+1),:,x ne 0),(0,:,x=0):} , then f(x) is

If f(x)={(e^((1)/(x))/(1+e^((1)/(x)))",", x ne0),(0",",x=0):} , then

The function f(x)={{:(,(e^(1/x)-1)/(e^(1/x)+1),x ne 0),(,0,x=0):}

Examine the continuity of the following function at the indicated pionts. f(x)={{:(,(e^(1/x)-1)/(e^(1/x)+1), x ne 0),(,0, x =0):}" at x=0"

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):}at x = 0

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0