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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- 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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- Consider the function f(x)=[x^2|cospi/(2x)|\ if\ x!=0 0,\ \ \ \ \ \ ...
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- A derivable function f : R^(+) rarr R satisfies the condition f(x) - f...
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- If f(x) = {{:(x - 3",",x lt 0),(x^(2)-3x + 2",",x ge 0):}"and let" g(x...
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- The integer ' n ' for which (lim)(xvec0)((cos x-1)(cos x-e^x))/(x^n) i...
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- The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|l...
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- Let f: Rvec be such that f(!)=3a n df^(prime)(1)=6. Then ("lim")(xvec...
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- Q. f={(x+a if x<0), (x-11 if x>=0) g(x)={(x+1 if x<0),(x-1)^2 if x...
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