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lim(x->oo)(2sqrt(x)+3x3+4x4++n x n)/(sqr...

`lim_(x->oo)(2sqrt(x)+3x3+4x4++n x n)/(sqrt((2x-3))+(2x-3)3++(2x-3)n)` is equal to
(a)1 (b) `oo` (c) `sqrt(2)` (d) none of these

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

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  2. Evaluate: lim(x->a)((x+2)^(5/3)-(a+2)^(5/3))/(x-a)

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  3. lim(x->oo)(2sqrt(x)+3x3+4x4++n x n)/(sqrt((2x-3))+(2x-3)3++(2x-3)n) ...

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  4. Evaluate: lim(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5s...

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  5. The value of lim(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is (a)4 (b) ...

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  6. Evaluate lim(xtooo) sqrt(x)(sqrt(x+c)-sqrt(x)).

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  7. lim(xrarroo)((x+1)^(10)+(x+2)^(10)+...+(x+100)^(10))/(x^(10)+10^(10)) ...

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  8. Evaluate: lim(x->0)(e^(x^2)-cosx)/(x^2)

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  9. lim(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (...

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  10. Evaluate: lim(x->2)(sin(e^(x-2)-1))/(log(x-1))

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  11. lim(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) is equal to (a)0 (b) ...

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  12. Evaluate: lim(x->0)(x2^x-x)/(1-cosx)

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  13. lim(x->0)(x(e^x-1))/(1-cosx) is equal to

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  14. Evaluate: lim(x->oo)[x(a^(1/x)-1)], a >1

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  15. If f(x)=2/(x-3),g(x)=(x-3)/(x+4) , and h(x)=-(2(2x+1))/(x^2+x-12) then...

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  16. Evaluate: lim(xto0) ((1-3^(x)-4^(x)+12^(x)))/(sqrt((2cosx+7))-3)

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  17. underset(xtooo)lim((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2))" is equal to "

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  18. Evaluate: lim(x->0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

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  19. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 ...

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  20. Evaluate: lim(x->a)("log"(x-a))/(log(e^x-e^a))

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