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lim(xto1) cos^(-1) ((1-sqrt(x))/(1-x)) i...

`lim_(xto1) cos^(-1) ((1-sqrt(x))/(1-x))` is equal to

A

`(pi)/(3)`

B

`(pi)/(6)`

C

`(pi)/(2)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`lim_(xto1) cos^(-1)((1-sqrt(x))/(1-x))`
` = lim_(xto1)cos ^(-1)((1-sqrt(x))/((1-sqrt(x))(1+sqrt(x))))`
` = lim_(xto1) cos^(-1)((1)/(1+sqrt(x)))`
` = cos^(-1)((1)/(2)) = (pi)/(3)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 17-MATHEMATICS
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