Let and note that For each value of , use a graphing utility to find all values

Let 

and note that For each value of ε, use a graphing utility to find all values of δ > 0 such that |f(x) - 4| < ε whenever 0 < |x - 1| < δ.

a. ε = 2

b. ε = 1

c. For any ε > 0, make a conjecture about the value of δ that satisfies the preceding inequality.

Transcribed Image Text:

2x2 – 2 х — 1 f(x) : lim f(x) = 4. |х—1