test the differentiability of the function at x=0 F(x)= {x÷|x| if x≠0 and 0 if x=0

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test the differentiability of the function at x=0 F(x)= {x÷|x| if x≠0 and 0 if x=0

Mathematics
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i actually got that it is undifferentiable becoz left hand derevative is -infinity and RHD is +infinity. plz check it and reply soooon.
left handed limit=x/{lxl} =x/-x =-1 when x<0. right handed limit=x/x=1 when x>0.. so the function is discontinuous at x=0. hence non differentiable at x=0.

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