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lim ( x to pi//2 ) ( sec x - tan x ...

`lim _ ( x to pi//2 ) ( sec x - tan x ) ` is equal to

A

2

B

-1

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
` lim _ ( x to ( pi ) /( 2 ) ) ( sec xe - tanx ) `
` rArr lim _ ( x to ( pi) / ( 2 ) ) ( ( 1 - sin x ) / ( cos x ) ) " " ( (0 ) /( 0 ) ` form )
Using 'L' hospital rule,
` rArr lim _ ( x to (pi ) / ( 2 ) ) ( - cos x ) /( - sin x ) `
` = lim_ ( x to ( pi ) / (2 ) ) cot x= cot "" ( pi ) / ( 2 ) = 0 `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2012-MATHEMATICS
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