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Let `[x]`denote the greatest integer less than or equal to `x` . Then the value of `alpha` for which the function `f(x)={(sin[-x^2]/[x^2),xne0),(alpha, x=0):}` is continuous at `x=0` is

A

`alpha=0`

B

`alpha=sin(-1)`

C

`alpha=sin(1)`

D

`alpha=1`

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The correct Answer is:
C
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