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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

`pi/10`

B

`(3pi)/10`

C

`(3pi)/2`

D

`(3pi)/5`

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The correct Answer is:
B
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