If f(x)={{:(([x]^2+sin[x])/([x]), "for "...

If `f(x)={{:(([x]^2+sin[x])/([x]), "for " [x] ne 0),(0,"for " [x] =0):}` where [x] denotes the greatest integer has than or equal to x, then `lim_(x rarr0) f(x)` equals

A

1

B

0

C

`-1`

D

None of these

Verified by Experts

The correct Answer is:

D

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