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