Home
Class 12
MATHS
{:(f(x),=((3^(sin x)-1)^(2))/(xlog(1+x))...

`{:(f(x),=((3^(sin x)-1)^(2))/(xlog(1+x)),",",x != 0),(,=k, ",",x = 0):}`
if f is continouous at x = 0, then k =

A

(a) `1/2 log 3`

B

(b) log 3

C

(c) 2 log 3

D

(d) `(log 3)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

{:(f(x),=(log(1+kx))/(sin x),",",x != 0),(,=5, ",",x = 0):} If f is continuous at x = 0, then k =

If {:(f(x),=((e^(kx)-1)^(2)sinx)/(x^(3)),",",x != 0),(,=4, ",",x = 0):} is continuous at x = 0, then k =

If f(x) = {((1-cosx)/x, ",", x != 0),(k, ",", x = 0):} is continuous at x = 0 then k =

If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then k =

If {:(f(x),=(e^(5x)-e^(2x))/(sin 3x),",",x != 0),(,=k/2, ",",x = 0):} is continuous at x = 0, the value of k is

If {:(f(x),=log_(1-3x)(1+3x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then the value of k is

{:(f(x),=(1-cos 3x)/(x tan x),",","for" x != 0),(,=k, ",","for" x = 0):} If f(x) is continuous at x = 0, the value of k is

If the function f(x) defined by {:(f(x),=x sin(1/x),",","for"x != 0),(,=k, ",","for"x = 0):} is continuous at x = 0, then k =

If {:(f(x),=(sec^2x)^(cot^2x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0 , then k is equal to