BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Let f(x)=[(sinx)/x]+[(2sin2x)/x]++[(10sin10 x)/x] (where [.] is the gr...
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- In a quadratic equation ax^2 + bx+c= 0 if 'a' and 'c' are of opposite ...
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- Let f(x)""=""x|x|""a n d""g(x)""=""s in x Statement 1 : gof is diff...
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- Statement 1:(lim)(x->0)sin^(-1){x}\ does not exist (where {.} denot...
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- Statement 1: lim(x->0) sqrt(1-cos 2x)/x does not existe . Statement 2...
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- Statement 1: If f(x)={x ,\ if\ x\ i s\ irr a t ion a l1-x ,\ if\ x\ i ...
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- Statement 1: (lim)(x->0)[x]((e^(1//x)-1)/(e^(1//x)+1)) (where [.] repr...
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- Statement 1: The function f(x)=[[x]]-2[x-1]+[x+2] is discontinuous ...
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- Let f(x)=-ax^2-b|x|-c, -alpha le x lt 0, ax^2+b|x|+c 0 le x le alpha ...
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- Let f(x)={1+(2x)/a ,0lt=x<1a x ,1lt=x<2dotIf("lim")(xvec1)f(x)e xi s t...
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- Given a real valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2)...
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- Which of the following statement(s) is (are) INCORRECT ?. (A) If lim...
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- Each question contains statements given in two columns which have to b...
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- 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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