Question

For the limit below illustrate the definition by finding the largest possible values of δ that
correspond to ε = 0.2 and ε = 0.1

lim x->2 (x^3-4x+1)=1

if ε = 0.2 the largest possible value for δ is:


if ε = 0.1 the largest possible value for δ is:


You don't have to solve the problem, just walking me through how to do the problem step by step would help immensely. Thanks!