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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- 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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- If l = lim(a-> oo) sum(r=2)^a [ (r+1) sin (pi/(r+1)) - r sin (pi/r...
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- underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))
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- underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q
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- lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)
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- (lim)(x->0)[((1+x)^(1//x))/e]^(1//x)\ \
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- Evaluate : lim[x->oo](x/e-x(x/[x+1])^x)
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- Let x0=2(cos)pi/6and xn=sqrt(2+x(n-1)).n=1,2,3,....... find Lim(n->oo)...
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- 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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- Let f(x)=lim(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) li...
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