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Each of Exercise gives a function ƒ(x) and numbers L,c,
Chapter 2, Problem 16E(choose chapter or problem)
PROBLEM 16E
Each of Exercise gives a function ƒ(x) and numbers L,c, and ϵ > 0In each case, find an open interval about on which the inequality |ƒ(x) – L| < ϵ holds. Then give a value for δ > 0 such that for all x satisfying 0 < | x – c | < δ the inequality |ƒ(x) – L| < ϵ holds.
Questions & Answers
QUESTION:
PROBLEM 16E
Each of Exercise gives a function ƒ(x) and numbers L,c, and ϵ > 0In each case, find an open interval about on which the inequality |ƒ(x) – L| < ϵ holds. Then give a value for δ > 0 such that for all x satisfying 0 < | x – c | < δ the inequality |ƒ(x) – L| < ϵ holds.
ANSWER:
Solution
Step 1 of 3:
We have given a function and numbers
and
we have to find the open interval on which the inequality
holds after that we need to give a value of
such that for all
satisfying
the inequality
holds