Question

Find the limits if they exist

lim_x->0 x/|x|
lim_x->0+ sqr(x+4)

Answer 1

since x/|x| = 1 for x >= 0

and x/|x? = -1 for x<0,
there's no 2-sided limit

√(x+4) presents no problems.
lim = √4 = 2