limit of -3x/ |x| as x approaches 0 from the left side

Question

find the limit analytically (direct substitution, factoring, conjugate, definition of derivative or lim of sin x/ x = 1 as x approaches 0

Answer 1

Limit of -3x/|x| when x=0-. |x|=-x when x is negative so -3x/-x=3.
Lim as x approaches 0 of sinx/x=1 because as x gets smaller sinx=x and x/x=1.