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Evaluate lim(x->oo) (3x^3-4x^2+6x-1)/(2x...

Evaluate `lim_(x->oo) (3x^3-4x^2+6x-1)/(2x^3+x^2-5x+7)`

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`lim_(x->oo) (3x^3-4x^2+6x-1)/(2x^3+x^2-5x+7)`
`= lim_(x->infty) {x^3(3-4/x+6/x^2-1/x^3)}/{x^3(2+1/x-5/x^2+7/ x^3)}`
`=lim_(x->infty) (3-4/x+6/x^2-1/x^3) / (2+1/x-5/x^2+7/ x^3) `
`=3/2`
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RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: lim(x->oo)(5x^3-6)/(9+4x^3 )\

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

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  3. Evaluate lim(x->oo) (3x^3-4x^2+6x-1)/(2x^3+x^2-5x+7)

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  4. Evaluate the following limit: lim(x->oo)sqrt(x^2+7x)-x

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  5. Evaluate the following limit: lim(n->oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!...

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  6. Evaluate the following limit: lim(n->oo){sqrt(x+1)-sqrt(x)}sqrt(x+2)

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  7. Evaluate the following limit: lim(n->oo)(1/(n^2)+2/(n^2)+3/(n^2)++(n-1...

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  8. Evaluate the following limit: lim(n->oo)(1^3+2^3+ n^3)/((n-1)^4)

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

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

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

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

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

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

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

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

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

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

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

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