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Discuss the continuity of f(x) in [0,...

Discuss the continuity of `f(x)` in [0, 2], where `f(x)=(lim)_(n->oo)(sin(pix)/2)^(2n)dot`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  3. Discuss the continuity of f(x) in [0, 2], where f(x)=(lim)(n->oo)(s...

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  11. Find the left and right hand derivative of the following function a...

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  12. If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):}...

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  13. If f(x)={a x+b ,\ xlt=-1a x^3+x+2,\ x > -1 is differentiable for all...

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  18. Show that the function f(x)={x^msin(1/x)0 ,x!=0,x=0 is differentiab...

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  19. Let f(x)=sgn(x) and g(x)= x(1-x^2), The number of points at which f(...

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  20. 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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