Problem 25E

Each of Exercises 15–30 gives a function ƒ(x) and numbers L, c, and In each case, find an open interval about c on which the inequality holds. Then give a value for δ > 0 such that for all x satisfying 0 < |x – c| < δ the inequality holds.

ƒ(x) = x2 - 5, L = 11, c = 4, = 1

SOLUTION

Step 1 of 3

Here,we have to find an open interval about on which the inequality |ƒ(x) – L| < ϵ holds.