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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Evaluate the following limit (lim)(x->oo)(1+a x)^(1/x)
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- Evaluate the following limit (lim)(x->oo)(1-4/(x-1))^(3x-1)
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- Evaluate the following limit (lim)(x->pi/2)(sin x)^(tanx)
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- Find the values of a\ &\ b : (lim)(x->oo)[(x^2+1)/(x+1)-a x-b]=0
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- lim(x rarr oo) (sqrt(x^2-x+1)-a x-b)=0, then a+b=
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- If lim(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and ...
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- F(x) is the function such that (lim)(x->0)(f(x))/x=1\ a n d\ (lim)(x...
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- If Sn=sum(k=1)^n ak and lim(n->oo)an=a , then lim(n->oo)(S(n+1)-Sn)/sq...
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- (lim)(x->oo)(logx^n-[x])/([x]),\ n in N ,\ ([x]\ d e not e s\ t h e\ ...
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- (lim)(x->-2)(sin^(-1)(x/4)\ )/(x^2+2x) is equal to...............
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- If (lim)(x->0)(log(3+x)-"log"(3-x))/(x^2-9)="k", then the value of...
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- The value of (lim)(x->oo)2/x"log"(1+x) is equal to............
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- The value of lim(x->0^+) x^m (logx)^n, m,n in N is
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- lim(n->oo) 1/sqrt(n^2)+1/sqrt(n^2+1)+1/sqrt(n^2+2)+.....1/sqrt(n^2+2n)...
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- Using Sandwich theorem, evaluate lim(n->oo)(1/(1+n^2)+1/(2+n^2)+.........
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- lim(hrarr0)(sin(pi/3+4h)-4sin(pi/3+3h)+6sin(pi/3+2h)-4sin(pi/3+h)+sinp...
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- Evaluate the following limits: lim(xto0)(sin4x)/(6x)
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- Evaluate the following limit: (lim)(x->0)(e ^(x^2)-3^(3x))/(sin((x^2...
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- lim(x->-oo)((3x^4+2x^2)sin(1/x)+|x|^3+5)/(|x|^3+|x|^2+|x|+1)
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- Evaluate the following limit: (lim)(x->1/(sqrt(2)))(cos^(-1)(2xsqrt...
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