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underset(nrarrinfty)lim((n+1)(n+2)....3n...

`underset(nrarrinfty)lim((n+1)(n+2)....3n)/(n^(2n)))^(1/n)` is equal to

A

3 log3-2

B

`18/e^4`

C

`27/e^2`

D

`9/e^2`

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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  3. underset(nrarrinfty)lim((n+1)(n+2)....3n)/(n^(2n)))^(1/n) is equal to

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  4. int0^5 ((1/x)-1) dx= ?

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  5. The value of underset(nrarrinfty)lim {(sqrt(n+1) +sqrt(n+2) +......+sq...

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  6. if [x] denotes the greatest integer less than or equal to x then integ...

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  7. (phi)t={1, for 0lelt1 0 otherwise then int(-3000)^(3000) (underset(r...

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  8. Let f:RrarrR be a function defined by f(x)={([x],x,le,2),(0,x,gt,2):} ...

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  9. If alpha=int0^1(e^(9x+3tan^-1x))((12+9x^2)/(1+x^2))dx where tan^-1x t...

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  10. Let f: R rarr R be a continuous odd function, which vanishes exactly a...

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  11. Let f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^2x for all x in (-pi/2, pi/2). T...

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  12. If f(x) + 2f(1 - x) =x^2 + 2, forall x in R, then f(x) is

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  13. The option(s) with the values of a and L that satisfy the following eq...

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  14. Let F:RrarrR be a thrice differentiable function. Suppose that F(1)=0,...

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  15. The integral int2^4 (logx^2)/((logx^2)+log(36-12x+x^2)) dx is equal to...

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

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

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

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

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

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