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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- If L=+(lim)(x->1)((2x-3)(sqrt(x)-1))/(2x^2+x-3),\ t h e n\ 20\ L=
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- If L=(lim)(x->oo)(logx^n-[x])/([x]),\ w h e r e\ n in N ,\ t h e n-2L...
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- (lim)(x->0)([100(sin x)/x]+[100(tanx)/x])=
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- (lim)(x->0)([100 x/(sin\ x)]+[100(tanx)/x])=
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- (lim)(x->0)([100(sin^(-1)\ x)/x]+[100(tan^(-1)x)/x])=
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- (lim)(x->0)([100 x/(sin^(-1)x)]+[100(tan^(-1)x)/x])=
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- lim(x -> oo) (sqrt(x^2 - x - 1) - ax - b) = 0 where a > 0, then there ...
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- If lim(x->oo)((1+a^3)+8e^(1/ x))/(1+(1-b^3)e^(1/ x))=2, then there exi...
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- If (lim)(x->oo)(sqrt((x^4-x^2+1))-a x^2-b)=0 , then there exists at ...
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- If lim(x->-a) (x^7+a^7)/(x+a)=7, where a lt 0 then ,there exists at ...
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- (lim)(x->\ oo)(x/(1+x))^x equals
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- (lim)(x->\ oo)(sin1/x+cos1/x)^x equals
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- (lim)(x->\ 0)(cosx)^(cot2x) equals
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- Evaluate the following limit: (lim)(x->pi/4)(1-t a n x)/(x-pi/4)
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- f:R to R is defined as f(x)= {{:(x^(2)+kx+3",",,"for "xge0),(2kx+3",",...
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- If (lim)(x->2)(f(x-9))/(x-2)=3 then (lim)(x->2)f(x), is
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- If (lim)(x->oo)(7^(k x)+8)/(7^(5x)+6) does not exist then' k ' c...
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- L i m i t\ l=(lim)(x->oo)(pi/2-t a n^-1\ x)/(ln(1-1/x)) equals
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- lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45))=
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- Evaluate the following limit : (lim)(x->oo)(logx)/(x^n),\ n >0
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