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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...
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- Let f(x)=lim(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)). then
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- Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)),x!=1,2 6,x=...
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- If the function and the derivative of the function f(x) is everywhere ...
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- If the function f(x)=(3x^2+a x+a+3)/(x^2+x-2) continuous at x=-2.find...
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- Find all possible values of a and b so that f(x) is continuous for all...
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- The function f(x) = [{:((6/5)^(tan 6x)/(tan 5x), if, 0 lt x lt pi/2),(...
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- Suppose that f(x)=x^3-3x^2 and h(x) =[(f(x))/(x-3), x!=3 then K , ...
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- Let yn(x)=x^2+(x^2)/(1+x^2)+(x^2)/(1+x^2)^2+...(x^2)/(1+x^2)^(n-1) and...
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- Find the number ofpoints of discontinuity of the function f(x)-[5x]+ {...
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- Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...
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- Let [x] denote the greatest integer function & f(x) be defined in a ne...
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- let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(l...
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- Determine a & b so that f is continuous at x = pi/2 whre f(x) = [{:(...
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- Discuss the continuity of 'f' in [0, 2], where f(x) = {{:(|4x - 5|[x],...
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- If f(x0=x+{-x}+[x],\ w h e r e\ [x] is the integral part& {x} is th...
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- A function f: RvecR is defined as f(x)=(lim)(nvecoo)(a x^2+b x+c+e^(n ...
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- Let f(x)=lim(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is con...
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- f(x)=(sinx+cosx)^(c o s e c x) ,-pi/2ltxlt0 a,x=0 (e^(1/x)+e^(2/x)+e...
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- Let sum(r=1)^nsin^(- 1)alphar=(npi)/2 for any n in N and p=prod(r=1)...
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