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Evaluate lim(xto pi//2) tanxlogsinx...

Evaluate `lim_(xto pi//2) tanxlogsinx`

A

-2

B

-1

C

`-(2)/(7)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
`underset(xto pi//2)limtanxlogsinx=underset(xto pi//2)lim(logsinx)/(cotx)`
`=underset(xto pi//2)lim((1)/(sinx)cosx)/(-cosec^(2)x)=0" "`(Applying L'Hospital's rule)
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