Home
Class 12
MATHS
If {:(f(x),=(e^(5x)-e^(2x))/(sin 3x),","...

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

A

(a) 0

B

(b) 1

C

(c) 2

D

(d) 5

Text Solution

Verified by Experts

The correct Answer is:
C
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),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then k =

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

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

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

If f(x) = {((sin3x)/(x), x !=0),(k/2,x=0):} is continuous at x = 0, then the value of k is

If f(x) = {((3sin pix)/(5x), ",",x != 0),(2k, ",",x = 0):} is continuous at x = 0, then the value of k is equal to

If the function f(x) = {((cosx)^(1/x), ",", x != 0),(k, ",", x = 0):} is continuous at x = 0, then the value of k is