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if f(x)=sin[x]/([x]+1) , x > 0 and f(x)=...

if `f(x)=sin[x]/([x]+1) , x > 0` and `f(x)=(cospi/2[x])/([x]) , x < 0` and `f(x)=k , x=0` where `[x]` denotes the greatest integer less than or equal to `x,` then in order that the continuous at `x = 0,` the value of `k` is equal to

A

Equal to 0

B

Equal to 1

C

Equal to -1

D

Indeterminate

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The correct Answer is:
A
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