Home
Class 12
MATHS
Find value of f at x=0 so that funct...

Find value of `f ` at ` x=0 ` so that functions ` f (x) = (2^(x) -2^(-x))/(x) , x ne 0 `
is continuous at ` x = 0 , `

A

0

B

log 2

C

4

D

log 4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the function f(x)={(x^3+3ifxne0),(1ifx=0):} is not continuous at x=0

Find the value of m , if any, so that the function h(x)={(m(x^2-2 x) , if, x<0), (cos x, if, x ge 0):} is continuous

Determine the value of k so that the function f(x)={(k(x^2+x+1),x<0),(cosx,xge0):} is continuous.

Find the values of a and b such that the function f(x)={(5a,x le 0) , (asinx+cosx,0 lt xlt pi/ 2 "is continuous") , (b-pi/2,x ge pi/2):}

Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continuous at x=0