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lim(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+s...

`lim_(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]`

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The value of lim_(n rarr oo)(sqrt(1)+sqrt(2)+sqrt(3)+....+2sqrt(n))/(n sqrt(n)) is

lim_(n rarr oo)(sqrt(n+1)-sqrt(n))=0

lim_(n rarr oo) sqrt(n)/sqrt(n+1)=

lim_(n rarr oo)(sqrt(n+1)+sqrt(n+2)+.........+sqrt(2n-1))/(n^((3)/(2) ))

Evaluate : lim_(n to oo)[(sqrt(n))/((3+4sqrt(n))^(2))+(sqrt(n))/(sqrt(2)(3sqrt(2)+4sqrt(n))^(2))+(sqrt(n))/(sqrt(3)(3sqrt(3)+4sqrt(n))^(2))+.......+(1)/(49n)]

lim_(n rarr oo)(1+sqrt(n))/(1-sqrt(n))

lim_(ntooo)(n-sqrt(n^(2)+n))

lim_(n rarr oo)((sqrt(n+3)-sqrt(n+2))/(sqrt(n+2)-sqrt(n+1)))

MAHAVEER PUBLICATION-DEFINITE INTEGRAL-QUESTION BANK
  1. Evaluate lim(nrarroo) [1/(n+k) + 1/(n+2k) + 1/(n+3k) +…+ 1/(n+nk)]

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  2. Evaluate lim(nrarroo) n [1/(n^2+1^2) + 1/(n^2+2^2) + 1/(n^2+3^2) +…+ 1...

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  3. lim(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]

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  4. Evaluate lim(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]

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  5. Evaluate lim(nrarroo) [(1^6 + 2^6 + 3^6…..+n^6)/n^7]

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  6. Choose the correct Answer of the Following Questions : int(pi/4)^(pi/2...

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  7. Choose the correct Answer of the Following Questions : int0^1 1/(2x-3)...

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  8. Choose the correct Answer of the Following Questions : int1^4 x^(-1/2)...

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  9. Choose the correct Answer of the Following Questions : int0^pi (1/(1+s...

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  10. Choose the correct Answer of the Following Questions : int0^(2pi) sqrt...

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  11. Choose the correct Answer of the Following Questions : int0^(pi/2) sqr...

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  12. Choose the correct Answer of the Following Questions : int0^(pi/2) dx ...

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  13. Choose the correct Answer of the Following Questions : int0^e logx dx=

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  14. Choose the correct Answer of the Following Questions : int0^sqrt3 dx/(...

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  15. Choose the correct Answer of the Following Questions : int0^(pi/2) (si...

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  16. Choose the correct Answer of the Following Questions : int0^(pi/2) dx/...

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  17. Choose the correct Answer of the Following Questions : int0^pi dx/(a +...

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  18. Choose the correct Answer of the Following Questions : int0^(pi/2) (si...

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  19. Choose the correct Answer of the Following Questions : int0^infty e^(-...

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  20. fill in the blanks. int2^3sqrtx/(sqrt(5-x)+sqrtx)dx=.

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