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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]), x != 0),(alpha,x=0))` is continuous at x = 0 is (A) `alpha=0` (B) `alpha=sin(-1)` (C) `alpha=sin(1)` (D) `alpha=1`

A

`alpha=0`

B

`alpha=sin(-1)`

C

`alpha=sin(1)`

D

`alpha=1`

Text Solution

Verified by Experts

The correct Answer is:
C
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