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lim(theta to (pi)/(2)) ((pi)/(2)-theta)/...

`lim_(theta to (pi)/(2)) ((pi)/(2)-theta)/(cot theta)` is equal to

A

0

B

`-1`

C

1

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
C
We have, `underset(theta to (pi)/(2))((pi)/(2)-theta)/(cot theta)`
`=underset(theta to (pi)/(2))(lim)((-1)/(-"cosec"^(2)theta))=underset(theta to (pi)/(2))(lim)sin^(2)theta=1`
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