If f(x) = {((sin 2x)/(5x), ",", "when" ...

If `f(x) = {((sin 2x)/(5x), ",", "when" x != 0),(k, ",", "when" x = 0):}` is continuous at x = 0, then the value of k will be

A

(a) 1

B

(b) `2/5`

C

(c) `-2/5`

D

(d) `5/2`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

If f(x) = {((x^(2)+3x-10)/(x^(2)+2x-15),",", "when"x != -5),(a,",", "when"x = -5):} is continuous at x = -5, then the value of 'a' will be

If f(x) = {((1-cosx)/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)={(x^(2)(sin)1/x,",","when" x != 0),(0,",","when"x = 0):} , then

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

{:(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