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

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

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

Evaluate: lim_(n rarr oo)(1^(2)+2^(2)+......+n^(2))/(n^(3))

Evaluate: lim_(n rarr oo)(1^(2)+2^(2)+......+n^(2))/(n^(3))

lim_(n->oo) [ (1^3+ 2^3 + 3^3 -------n^3)/n^4]

lim (n rarr oo) (1 ^ (2) + 2 ^ (2) + 3 ^ (3) + ......... + n ^ (2)) / (n ^ (3))

The value of lim_(n to oo)((1)/(1^(3)+n^(3))+(2^(2))/(2^(3)+n^(3))+..........+(n^(2))/(n^(3)+n^(3))) is :

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

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

lim_ (n rarr oo) (1 + 2 + 3 + ...... + n) / (3n ^ (2)) =?

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

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. lim(x->(-2))(1/(x+2)-12/(x^3+8))

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  2. (lim)(x->oo)(sqrt(4x^2+x)-sqrt((4x^3)/(x+2)))(oo-oo) form

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

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  4. (lim)(x->0)((cos x)^(1//3)-(cos x)^(1//2))/(sin^2x) equals a. 1/12 b. ...

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  5. (lim)(x->oo)((x+a)(x+b)(x+c))^(1//3)-x

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  6. (lim)(x->0)("ln"(sin2x))/(ln(s in\ x)) is equals to a. 0 b. 1 c. 2 d. ...

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  7. (lim)(x->0)(1^(cosec^2x)+2^(cosec^2x)+3^(cosec^2x)+...+100^(cosec^2...

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  8. Evaluate : ("lim")(xvecpi/4)(1-cot^3x)/(2-cotx-cot^3x)

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  9. Evaluate the following limit: (lim)(x->2)(2^x+2^(3-x)-6)/(2^(-x)-2^...

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  10. Evaluate the following limit: (lim)(x->9)(3-sqrt(x))/(4-sqrt(2x-2))

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  11. lim(n->oo)(sqrt(n^3-2n^2+1)+3sqrt(n^4+1) 3)/(4sqrt(n^6+6n^5+2)- 5sqrt(...

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  12. Evaluate the following limit: (lim)(x->+-oo)(sqrt(x^2-2x-1)-sqrt(x^...

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  13. Evaluate the following limit: (lim)(x->oo)sqrt(x^3+3x^2)-sqrt(x^2-2...

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  14. Evaluate the following limit: (lim)(x->1)((2x-3)(sqrt(x)-1))/(3x^2-3x-...

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  15. Evaluate the limit: ("lim")(xvec1)(sumk=1 100 x^k-100)/(x-1)

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  16. Evaluate the limit: ("lim")(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

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  17. Evaluate the limit: ("lim")(x rarr a)(sqrt(3x-a)-sqrt(x+a))/(x-a)

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  18. Evaluate the limit: ("lim")(hvec0)[1/(h8+h3)-1/(2h)]

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  19. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13) using sandwich theorem.

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  20. If [dot] denotes the greatest integer function, then find the value of...

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