The function f in the figure satisfies For each value of , find all values of

The function f in the figure satisfies For each value of ε, find all values of δ > 0 such that

|f(x) - 3| < ε whenever 0 < |x - 2| < δ.               (2)

a. ε = 1

b. ε = 1/2

c. For any ε > 0, make a conjecture about the corresponding value of δ satisfying (2).

Transcribed Image Text:

(r). →2' lim f(x) = 3. x УА 6. y = f(x) 3 1 2 х