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Homework Statement
Identify the value of δ( accur. to 2 dec. places) that corresponds to ε=0.01, given lim x->-1 (x^2+3)=4, according to the definition of limits.
Homework Equations
|f(x)- L| < ε
0<|x-a| < δ
The Attempt at a Solution
|(x^2+3)- 4| <0.01
|x^2-1| <0.01
|x-1||x+1| <0.01
This where I have no idea what to with |x-1|. Do I divide 0.01 by |x-1|? Any hints, please?
Thanks.