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(lim)(x->0)((cos x)^(1//3)-(cos x)^(1//2...

`(lim)_(x->0)((cos x)^(1//3)-(cos x)^(1//2))/(sin^2x)` equals a. 1/12 b. 1/6 c. 1/3 d.1/2

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. (lim)(x->oo)(sqrt(4x^2+x)-sqrt((4x^3)/(x+2)))(oo-oo) form

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Evaluate : ("lim")(xrarroo) 1/(1+n^2)+1/(2+n^2)+...+n/(n+n^2)

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