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Proved that: f(x)=[x\ if\ x in Q0\ if\ ...

Proved that: `f(x)=[x\ if\ x in Q0\ if\ x !in Q\ ` is continuous only at `x=0.`

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  3. Proved that: f(x)=[x\ if\ x in Q0\ if\ x !in Q\ is continuous only ...

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  4. Proved that: f(x)=[x\ if\ x in Q-x\ if\ x !in Q\ is continuous only...

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

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

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  12. The number of points at which the function, f (x)={{:(min {|x|"," x ...

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  13. If incident ray from point (-3, 2) parallel to the axis of parabola...

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  14. Let f be differentiable at x=a\ a n d\ l e t\ f(a)!=0. Evaluate (lim)(...

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

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  19. Find the domain of f^(prime)(x) if f(x)=[x/(1+|x|)]if\ |x|geq1 , x...

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  20. If f(x) is differentiable at x=a and f^(prime)(a)=1/4dot Find (lim)(h-...

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