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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- 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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- (lim)(xvec-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] denot...
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- Evaluate the following limit: (lim)(x->(3pi)/4)(1-tan3x)/(1-2cos^2x)
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- Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...
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- Evaluate the limit: ("lim")(xvec1)(sumk=1 100 x^k-100)/(x-1)
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- Evaluate the following limit: (lim)(x->1)(x^3+x^2-2)/("sin"(x-1))
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- Evaluate the limit if exists, lim(x->1)[{ln(1+x)-ln2}{3.4^[x-1]-3x}]...
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- The value of ("lim")(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal ...
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- let {an},{bn},{cn} be sequences such that (1) an+bn+cn=2n+1 , (2) anbn...
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- lim(x->oo)(a(2x^3-x^2)+b(x^3+5x^2-1)-c(3x^3+x^2))/(2(5x^4-x)-b x^4+c(4...
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- Let L=prod(n=3)^oo (1-4/n^2); M=prod(n=2)^oo ((n^3-1)/(n^3+1)) and N=p...
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