If f(x) = {((3sin pix)/(5x), ",",x != 0)...

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

A

(a) `(3pi)/10`

B

(b) `(3pi)/5`

C

(c) `pi/10`

D

(d) `(3pi)/10`

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The correct Answer is:

A

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