Could someone help me with this limit problem

could someone help me with this limit problem?

limit as x goes to 2- (from the left) of 1/x - 1/|x|

thanks a bunch! best answer goes to the most complete explanation

2- means approaching 2 from below (from the left) :1.99,1.999,1.9999 etc
1/|x| = 1/x
Since number near 2 (but left of 2) is always positive, 1/|x| = 1/x

lim x-->2- 1/x - 1/|x| = 1/2-1/2 =0

The function f(x) = 1/x - 1/|x| is continuous at x = 2, so

lim (as x->2) f(x) = f(2).