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IfSn=[1/(1+sqrt(n))+1/(2+sqrt(2n))++1/(n...

`IfS_n=[1/(1+sqrt(n))+1/(2+sqrt(2n))++1/(n+sqrt(n^2))],t h e n(lim)_(n rarr oo)S_n` is equal to (a)log 2 (b) log4 (c)log 8 (d) none of these

A

`log 2`

B

`4 log 2`

C

`2 log 2`

D

`(1)/(2) log 2`

Text Solution

Verified by Experts

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

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

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

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  7. lim(n to oo)(1)/(n)[tan.(pi)/(4n)+tan.(2pi)/(4n)+…..+tan.(n pi)/(4n)]

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  9. If underset(1)overset(x)int(dt)/(|t|sqrt(t^(2)-t)) = (pi)/(6), then x ...

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