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The sum of the infinte series sin^(-1)(1...

The sum of the infinte series `sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))`

A

`(pi)/(8)`

B

`(pi)/(4)`

C

`(pi)/(2)`

D

`pi`

Text Solution

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The correct Answer is:
C
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 5-MCQS
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  9. Which of the following is logically equivalent to ~(~pto q)?

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  14. Write the vectorthe vector equation of the line passing through (1, 2,...

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  16. If f(x)=sin^(-1)(sinx)+cos^(-1)(sinx) and phi(x)=f(f(f(x))), then phi'...

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  17. If 5f(x)+3f(1/x)=x+2 and y=x f(x), then find dy/dx at x=1.

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