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The value of underset(nrarrinfty)lim {(s...

The value of `underset(nrarrinfty)lim {(sqrt(n+1) +sqrt(n+2) +......+sqrt(2n))/(n^(3/2)}` is

A

`2/3(2sqrt2-1)`

B

`2/2(sqrt2-1)`

C

`2/3(sqrt2+1)`

D

`2/3(2sqrt2+1)`

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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  14. Let xn = (1 - 1/3)^2 (1-1/6)^2 (1-1/10)^2 ...... (1 - 1/((n(n + 1))/2)...

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  15. underset(nrarrinfty)lim (sqrt1+sqrt2+.......+sqrt(n-1))/(nsqrtn) = ?

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  16. Let f : Rrarr R be a continuous function which satisfies f(x) = int0^x...

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  17. Let xn = (1 - 1/3)^2 (1-1/6)^2 (1-1/10)^2 ...... (1 - 1/((n(n + 1))/2)...

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  18. Let f(x) denote the fractional part of a real number x. Then the value...

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  19. Let f : (0,infty) rarr R be given by f(x) = int(1/x)^(x) e^-(t + 1/t...

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  20. Let f : [a , b]rarr [1, infty] be a continuous function and let g : R ...

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