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If (lim)(x->a)(x^3-a^3)/(x-a)=(lim)(x->1...

If `(lim)_(x->a)(x^3-a^3)/(x-a)=(lim)_(x->1)(x^4-1)/(x-1)` , find all possible value o `adot`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. If lim(x->a) (x^5-a^5)/(x-a)=5, then find the sum of the possible re...

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  2. If (lim)(x->a)(x^9-a^9)/(x-a)=\ (lim)(x->5)(4+x) find all possible val...

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  3. If (lim)(x->a)(x^3-a^3)/(x-a)=(lim)(x->1)(x^4-1)/(x-1) , find all poss...

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  4. Evaluate : ("lim")(xvecoo)(a x^2+b x+c)/(dx^2+e x+f)dot

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

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

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

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  8. Evaluate Lt {x->oo} (3x^3-4x^2+6x-1)/(2x^3+x^2-5x+7)

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

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

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

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

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

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

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

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

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

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

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

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