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Evaluate the limit: ("lim")(xvecoo)[sqrt...

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

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate the following limit: (lim)(x->1)((2x-3)(sqrt(x)-1))/(3x^2-3x-...

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

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

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

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

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

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

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

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  9. Evaluate the following limit bases on Sandwich theorem: If 4x-9lt=f...

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  10. Evaluate the following limit bases on Sandwich theorem: 2xlt=g(x)lt...

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  11. Evaluate the limit ("lim")(xrarr0)(sin3x)/x

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  12. Evaluate the limit: ("lim")(xvec0)(sina x)/(sinb x)

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  13. Evaluate the limit: ("lim")(xvec1)("sin"(logx))/(logx)

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  14. Evaluate: ("lim")(xvec0)1/xsin^(-1)((2x)/(1+x^2))

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  15. Evaluate: ("lim")(xvec0)(1-cos2x)/(x^2)

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  16. Evaluate: ("lim")(xvec0)(tanx-sinx)/(x^3)

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  17. Evaluate: lim(x->pi/2)(1+cos2x)/((pi-2x)^2)

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  18. lim {x->oo} 2^(x-1) tan(a/(2^x))

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  19. Evaluate: lim(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

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  20. Evaluate: lim(x->oo)x(tan^(-1)((x+1)/(x+4))-pi/4)

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