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Question

f(x)=1x,(0x1)x+2,(1<x<2)4x,(2x4)
Discuss the continuity & differentiability of y=f(x) for 0x4.

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Solution

at x=1
limxaf(x)=0;limxa+f(x)=3
Not continuous
Not Differentiable
at x=2
limxaf(x)=4;limxa+f(x)=2
Not continuous
Not Differentiable

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