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Find lim(xrarr(2n+1)pi^(+)) sin([sinx](p...

Find `lim_(xrarr(2n+1)pi^(+)) sin([sinx](pi)/6)`, where `[.]` is a greatest integer function and `"n" epsilonI`.

A

`0`

B

`1/2`

C

`-1/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`lim_(xrarr(2n+1)pi^(+))[sinx]=-1`
`:. lim_(xrarr(2n+1)pi^(+))sin([sinx](pi)/6)=-"sin"(pi)/6=-1/2`
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