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lim(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+s...

`lim_(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]`

A

`(2)/(3)(2sqrt(2)+1)`

B

`(2)/(3)(2sqrt(2)-1)`

C

`(2)/(3)(sqrt(2)-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
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  3. lim(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]

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  4. IfSn=[1/(1+sqrt(n))+1/(2+sqrt(2n))++1/(n+sqrt(n^2))],t h e n(lim)(n ra...

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  5. The value of lim(n to oo)sum(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

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  6. The value of lim(n->oo)(sqrt(1)+sqrt(2)+sqrt(3)+.....+sqrt(n))/(nsqrt(...

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