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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- 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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- 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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