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Evaluate underset(ntooo)limsin^(n)((2pin...

Evaluate `underset(ntooo)limsin^(n)((2pin)/(3n+1)),ninN.`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->oo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

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  2. lim(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (...

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  3. Evaluate underset(ntooo)limsin^(n)((2pin)/(3n+1)),ninN.

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  4. lim(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^...

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  5. Evaluate underset(xto1)lim(sqrt(x)+sqrt(sqrt(x))+sqrt(sqrt(sqrtx))+sqr...

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  6. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (...

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  7. Evaluate lim(x->2)(x^(10)-1024)/(x^5-32)

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  8. ("lim")(xto0)1/xcos^(-1)((1-x^2)/(1+x^2)) is equals to (a)1 (b) 0 ...

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  9. If lim(x->2)(x^n-2^n)/(x-2)=80 and n in N ,then find the value of n.

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  10. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

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

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

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

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

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

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

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

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

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

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

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