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Evaluate the following limit : (lim)(...

Evaluate the following limit : `(lim)_(x->oo)(logx)/(x^n),\ n >0`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. L i m i t\ l=(lim)(x->oo)(pi/2-t a n^-1\ x)/(ln(1-1/x)) equals

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  2. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45))=

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  3. Evaluate the following limit : (lim)(x->oo)(logx)/(x^n),\ n >0

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

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  5. Evaluate the following limit : (lim)(n->oo)(n/(n+y))^n

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  6. Evaluate the following limit : (lim)(x->0)((4^x-1)^3)/(sin((x^2)/4)l...

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  7. Evaluate underset(xto0)lim(sinx^(0))/(x).

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  8. Evaluate ("lim")(nvecoo){cos(x/2)cos(x/4)cos(x/8) cos(x/(2^n))}

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  9. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

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  10. Evaluate the following limit : (lim)(x->oo)((1-cos2x)sin5x)/(x^2sin3...

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  11. Evaluate the following limit : (lim)(alpha->beta)[(sin^2alpha-sin^2b...

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  12. Evaluate the following limit : (lim)(x->0)((a^x+b^x+c^x)/3),\ (a , ...

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

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  14. Evaluate the following limit (lim)(x->oo)((x+3)/(x+1))^(x+1)

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  15. Evaluate the following limit (lim)(x->oo)(1+a x)^(1/x)

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  16. Evaluate the following limit (lim)(x->oo)(1-4/(x-1))^(3x-1)

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

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  18. Find the values of a\ &\ b : (lim)(x->oo)[(x^2+1)/(x+1)-a x-b]=0

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  19. lim(x rarr oo) (sqrt(x^2-x+1)-a x-b)=0, then a+b=

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  20. If lim(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and ...

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