Question

find limits of f(x)=lxl +2 and x=0​

Answer 1

Answer:

For x<0, |x|x=−xx=−1

For x>0, |x|x=xx=1

Thus

limx→0−|x|x=−1

limx→0+|x|x=1

So the limit does not exist.

graph{|x|/x [-10, 10, -5, 5]