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

`lim_(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)`

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The value of lim_(nrarroo) ((sqrtn^(2)+n-1)/(n))^(2sqrt(n^(2)+n-1)) is

lim_(nrarroo)((1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+....+(1)/(sqrt(n^(2)-(n-1)^(2)))) is equal to

lim_(n rarr oo)(sqrt(n^(2)+n)-sqrt(n^2+1))

lim_ (n rarr oo) ((sqrt (n ^ (2) + n) -1) / (n)) ^ (2sqrt (n ^ (2) + n) -1)

lim_(n rarr oo)(1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)+1))+(1)/(sqrt(n^(2) +2))+...(.1)/(sqrt(n^(2)+2n))=

The value of lim_(nto oo)(1/(sqrt(n^(2)))+1/(sqrt(n^(2)+1))+…..+1/(sqrt(n^(2)+2n))) is

The value of lim_(n rarr oo)(sqrt(3n^(2)-1)-sqrt(2n^(2)-1))/(4n+3) is

The value of lim_(n rarr oo)(1/sqrt(4n^(2)-1)+1/sqrt(4n^(2)-4)+...+1/sqrt(4n^(2)-n^(2))) is -

lim_(nto oo)1/n+(1)/(sqrt(n^(2)+n))+(1)/(sqrt(n^(2)+2n))+...(1)/(sqrt(n^(2)+(n-1)n)) is equal to

lim_ (n-> oo) (sqrt (n))/(sqrt (n)+sqrt (n+1)) = (i) 1 (ii) 1/2 (iii) 0 (iv) infty

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))

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  2. underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

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

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  4. (lim)(x->0)[((1+x)^(1//x))/e]^(1//x)\ \

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  5. Evaluate : lim[x->oo](x/e-x(x/[x+1])^x)

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  6. Let x0=2(cos)pi/6and xn=sqrt(2+x(n-1)).n=1,2,3,....... find Lim(n->oo)...

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  7. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

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  8. Let f(x)=lim(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) li...

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  9. Let f(x)=lim(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) li...

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  10. Let f(x)=lim(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n)) then find (a) lim...

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  11. Let f(x)=(lim)(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)...

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  12. Through a point A on a circle, a chord AP is drawn & on the tangent at...

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  13. At the end points A,B of the fixed segment of length L, lines are draw...

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  14. At the endpoint and midpoint of a circular are AB, tangent lines are ...

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  15. Let (lim)(x->1)(x^6+1+5/3(x^4+x^2)-8/3(x^5+x))/(x^5+x+6x^3-4x^4-4x^2)=...

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  16. Let lim(x->oo)xln(e(1+1/x)^(1-x)) equal m/n where m and n are relati...

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  17. Find the value of a for which the following function is continuous ...

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  18. Find the value of a for which the following function is continuous ...

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  19. Find the value of a for which the following function is continuous a...

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  20. Find the value of a for which the following function is continuous ...

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