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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- 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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- If the function f(x) =(tan(tanx)-sin(sinx))/(tanx-sinx) (x !=0): is c...
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- Find the following function is differentiable at a given point or n...
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- At the point x = 1 , then function f(x) = {{:(x^(3) - 1, 1lt x lt o...
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- The function f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/...
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- Find the left and right hand derivative of the following function a...
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- Find the following function is differentiable at a given point or no...
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- Discuss the continuity & differentiability of the function f(x) = sin ...
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- Examine the continuity and differentiability of the function f(x...
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- If the function f(x) defined as f(x)= -x^2/x, x<=0 and f(x)=x^nsin(1/x...
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- If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^...
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- Let f(0)=0 and f'(0)=1. For a positive integral k show that lim(x->o) ...
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- Let f(x) = (xe)^(1/|x|+1/x); x != 0, f(0) = 0, test the continuity & ...
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- If f(x)= ax^2-b, |x|<1 and f(x)=-1/|x|, |x|>=1 is derivable at x=1 th...
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- Let f(x) be difined in the interval [-2, 2] such that f(x)={{:(-1"...
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- Discuss the continuity and differentiability in 0,2] of f(x)={|2x-3|...
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- Let a1 and a2 be two values of a for which f(x)= x*{ln(1+x)+ln(1-x)}/(...
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- Discuss the continuity & the derivability of 'f' where f(x)= degree ...
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