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

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

A

`(9)/(e ^(2))`

B

`3 log 3-2`

C

`(18)/(e ^(4))`

D

`(27)/(e ^(2))`

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The correct Answer is:
D
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DISHA PUBLICATION-INTEGRALS -EXERCISE-2 CONCEPT APPLICATOR
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  3. Let the equation of a curve passing through the point (0,1) be given b...

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  9. In the integral int(cos 8x+1)/(cot 2x-tan 2x)dx=A cos 8x+k, where k...

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  10. If |x| lt 1" thn "underset(n to oo)"Lt "(1+x)(1+x^(2))(1+x^(4))....(1+...

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  14. int (x ^(n-1))/( x ^(2n) + a ^(2)) dx =

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  15. If intf(x)cos x dx = 1/2 f^(2)(x)+C, then f(x) can be

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  16. Evaluate: int2^2^x2^2^xdxdot

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  18. The value of int((1+x))/(x(1+x e^(x))^(2))dx, is equal to

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  19. The value of int((ax^2-b)dx)/(xsqrt(c^2x^2-(ax^2+b)^2)) is equal to

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  20. int(log sqrt(pi//2))^(log sqrt(pi))e^(2x)sec^(2)((1)/(3)e^(2x))dx=

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