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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Evaluate the following limits: (lim)(x->oo)((x+6)/(x+1))^(x+4)
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- Evaluate the following limits: (lim)(x->oo)(1+1/(a+b x))^(c+dx)w h ...
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- (lim)(x->1)(2-x)^(tan(pix)/2)
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- (lim)(x->oo)(sin(1/x)+cos(1/x))^x
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- (lim)(x->0)[tan(pi/4+x)]^(1/x)
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- (lim)(x->0)((1-t a n x)/(1+sin x))^(cos e c\ x)
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- (lim)(x->0)(cos x)^(cot(3x))
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- (lim)(x->oo)(x/(1+x))^x
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- (lim)(x->oo)((2tan^(-1)x)/pi)^x
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- Evaluate: (lim)(x->0)log(tan^2x)(tan^2 2x)dot
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- Evaluate: lim(x->0)x^m(logx)^n ,m , n in Ndot
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- Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)
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- f(x)=(lim)(n->oo)(t a npix^2+(x+1)^n s in x)/(x^2+(x+1)^n) , find (...
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- f(x)=(lim)(n->oo)(cospix-x^(2n)"sin"(x-1))/(1+x^(2n+1)-x^(2n)) , fi...
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- Evaluate (lim)(x->0)(1+tan^2sqrt(x))^(1//x)
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- (lim)(x->tan^(-1)3)([tan^3x]-2[t a n x]-3)/([tan^2x]-4[tanx]+3) (where...
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- Evaluate of the following limit: (lim)(x->0)(e^x-1-x)/(x^2)
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- Evaluate of the following limit: (lim)(x->0)(x-sinx)/(x^3)
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- Evaluate of the following limit: (lim)(x->0)(e^x-e^(-x)-2x)/(x^3)
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- Evaluate of the following limit: (lim)(x->0)(x-t a n x)/(x^3)
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