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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Let f(x)=("lim")(xvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...
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- ("lim")(xvec0){(1+x)^(2/x)} (where {.} denotes the fractional part of ...
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- lim(x->0) sin(x^2)/(ln(cos(2x^2-x)) is equal to
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- If f(x)={x^nsin(1/(x^2)),x!=0 0,x=0,(n in I),t h e n ("lim")(xvec0)...
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- (lim)(x->0)((1^x+2^x+3^x++n^x)/n)^(1/x)\ is equal to (n\ !)\ ^n b. (n...
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- Among (i) ("lim")(xvec0)sec^(-1)(x/(sinx))a n d(i i i)("lim")(xvecoo)s...
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- If ("lim")(xvec0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n m...
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- ("lim")(xvec1)((1-x)(1-x^2)(1-x^(2n)))/({(1-x)(1-x^2)(1-x^n)}^2),n in ...
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- The value of ("lim")(xvec0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] ...
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- If ("lim")(xvec0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n m...
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- If ("lim")(xvec0)(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, th...
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- For let h(x)={1/q if x=p/q and 0 if x is irrational where p & q ...
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- ABC is an isosceles triangle described in a circle of radius r.If AB=...
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- Let f be a differentiable function on the open interval(a, b). Which o...
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- If f(x) = |1 -x|, then the points where sin^-1 (f |x|) is non-differen...
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- Let f(x)=1/(1+e^(1/x))for\ x!=0\ a n d\ f(0)=0 , then f(0^+) does not ...
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- 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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