Given that

lim
x→3
(5x − 14) = 1,
illustrate Definition 2 by finding values of δ that correspond to ε = 0.5, ε = 0.1, and ε = 0.05.

1 answer

So, f(x)→1+ε, that means
5(x)-14 → 1+ε
x → 15+ε
x → 3+ε/5
so, δ = ε/5