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For each x in R, let [x] be the greates...

For each ` x in R`, let [x] be the greatest integer less than or equal to x, Then,
` underset( x to 0^(-)) lim ( x ([x] + | x| ) sin [x]) / ([x])` is equal to

A

`-sin 1`

B

0

C

1

D

sin 1

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The correct Answer is:
A
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