Home
Class 12
MATHS
For what value of k, the function define...

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

A

(a) 2

B

(b) `1/2`

C

(c) `(pi)/90`

D

(d) `90/pi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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),=(log)(sec^2x)^(cot^2x),",","for"x != 0),(,=k, ",","for"x = 0):} is continuous at x = 0 then k is

f:R->R is defined by {:(f(x),=(cos3x-cosx)/(x^2),",","for" x != 0),(,=k, ",","for" x = 0):} If f(x) is continuous at x = 0, the value of k is

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

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

{:(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

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