Question: The function f in the figure satisfies For each value of , find all values of > 0 such that a. = 2

The function f in the figure satisfies = 5. lim f(x) For each value of ε, find all values of δ > 0 such that

|f(x) – 5| < ɛ whenever 0 < |x – 4| < 8. (3)

a. ε = 2

b. ε = 1

c. For any ε > 0, make a conjecture about the corresponding value of δ satisfying (3).

= 5. lim f(x) |f(x) 5| < whenever 0 < |x 4|

= 5. lim f(x) |f(x) 5| < whenever 0 < |x 4| < 8. (3)

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