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Question

If f(x)={x+1,x<1
2x3,x1 , evaluate limx1f(x)

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Solution

LHL=limh0f(1h)...=limh0(1h)+1=2RHL=limh0f(1+h)=limh02(1+h)3=1asLHLRHL=0solimx1f(x)doesntexist


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