
This is my teacher's work on how to prove a limit statement using delta-epsilon. I understand everything except the where I circled it red. How did he get rid of the term sqrt (x-5) + 2 in the denominator? Where in the world did the zero come from?

This is my teacher's work on how to prove a limit statement using delta-epsilon. I understand everything except the where I circled it red. How did he get rid of the term sqrt (x-5) + 2 in the denominator? Where in the world did the zero come from?
Copyright © 2021 JogjaFile Inc.
Making the denominator smaller makes the fraction value larger.
(Sharing a pizza with less folks allows for larger slices)