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

Evaluate the following limit: `lim_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))`

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To evaluate the limit \[ \lim_{x \to \infty} \frac{(3x - 1)(4x - 2)}{(x + 8)(x - 1)}, \] we will follow these steps: ...
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RD SHARMA-LIMITS-All Questions
  1. If lim(x->a)(x^3-a^3)/(x-a)=lim(x->1)(x^4-1)/(x-1) , find all possible...

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  2. Evaluate : lim(x->oo)(a x^2+b x+c)/(dx^2+e x+f)dot

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

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  4. Evaluate the following limit: lim(x->oo)(5x^3-6)/(9+4x^3 )\

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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