Question

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

Answer 1

i actually got that it is undifferentiable becoz left hand derevative is -infinity and RHD is +infinity. plz check it and reply soooon.

Answer 2

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.