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

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

A

`(3 pi )/10`

B

`(3 pi )/5`

C

`pi/10`

D

`(3 pi)/2`

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The correct Answer is:

A

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