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If f(x) = {{:((3 sin pi x)/(5 x),x ne 0)...

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

A

`(3pi)/(10)`

B

`(3 pi)/(5)`

C

`(pi)/(10)`

D

`(3pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous at x =0, then the value of k is

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    `5/pi`
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  • If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous at x=0 , then the value of K is

    A
    `pi/10`
    B
    `(3pi)/(10)`
    C
    `(3pi)/(2)`
    D
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