i would like to prove using Epsilon-Delta Proof that x^3 is continous at x=-2

Question

i would like to prove using Epsilon-Delta Proof that x³ is continous at x=-2

Answer 1

Proof goes something like this:

For e>0, let delta = e^(1/3)+2

x < |-2 + delta |

then

f(x) < |-2 +2 + e^(1/3)| ^3

= e