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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)`

Text Solution

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The correct Answer is:
B
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