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lim(n -> oo) (((n+1)(n+2)(n+3).......2n)...

`lim_(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)`is equal to

A

`18/(e^(4))`

B

`27/(e^(2))`

C

`9/(e^(2))`

D

`3log3-2`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-LIMITS-Exercise (Questions Asked In Previous 13 Years Exam)
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  7. Let p=underset(xto0^(+))lim(1+tan^(2)sqrt(x))^((1)/(2x)). Then log(e)p...

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  11. If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then

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  12. Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

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  18. Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...

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