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Evaluate the following limit: (lim)(x->o...

Evaluate the following limit: `(lim)_(x->oo)(sqrt(x^2+a^2)-sqrt(x^2+b^2))/(sqrt(x^2+c^2)-sqrt(x^2+d^2))`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. lim(x->oo)(x^4+7x^3+46 x+a)/(x^4+6) where a is a non-zero real number.

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  2. Evaluate the following limit: (lim)(x->-oo)(sqrt(x^2-8x)+x)

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

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

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

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  6. Evaluate the following limit: (lim)(x->0)(x^2)/(sin x^2)

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  7. Evaluate the following limit: (lim)(x->0)(sinxcosx)/(3x)

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  8. Evaluate the following limit: (lim)(x->0)(3sin x-4sin^3x)/x

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  9. lim(x->0)(tanm x)/(tann x)

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  10. Evaluate the following limit: (lim)(x->0)(sinx^0)/(x^0)

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  11. Evaluate the following limit: (lim)(x->0)(cos a x-cos b x)/(cosc x-cos...

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  12. Evaluate the following limit: (lim)(x->0)(1-cosm x)/(x^2)

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  13. Evaluate the following limit: (lim)(x->0)(cos3x-cos7x)/(x^2)

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  14. Evaluate the following limit: (lim)(x->0)(xcosx+2\ sin x)/(x^2+tanx)

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  15. Evaluate the following limit: (lim)(x->0)(5xcosx+3sinx)/(3x^2+tanx)

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  16. Evaluate the following limit: (lim)(x->0)(sin5x-sin3x)/(sinx)

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  17. Evaluate lim(x-> 0) (tan3x-2x)/(3x- sin^2 x)

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  18. lim(x->0)(1-cos2x+tan^2x)/(xsinx)

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  19. Evaluate the following limit: (lim)(x->0)(x^2-t a n2x)/(t a n x)

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  20. Evaluate the following limit: (lim)(x->0)(xtanx)/(1-cos x)

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