I'm learning how to find delta from a particular epsilon. I'm not understanding a step in the solution for the problem listed below:
Here's the problem:
lim(x→3)x^2=9
Solution:
|x^2-9|<.05
-.05<x^2-9<.05
2.9916..<x<3.0083
2.9916..-3<x-3<3.0083..-3
-.0083..<x-3<.0083..
delta=.0083...