For the given function f(x) and values of L, c, and ɛ > 0 find the largest open interval aboutc on which the inequality |f(x) - L|<ɛ holds. Then determine the largest value for 8 > 0 such that 0< |x – c| <8→ |f(x) – L| < ɛ. f(x) = x², L=64, c= -8, e=0.45 The largest open interval about c on which the inequality |f(x) – L| 0 such that 0 < |x – c| < & → If(x) – L| < e is (Round to four decimal places.)

Question
For the given function f(x) and values of L, c, and ɛ > 0 find the largest open interval aboutc on which the
inequality |f(x) - L|<ɛ holds. Then determine the largest value for 8 > 0 such that 0< |x – c| <8→
|f(x) – L| < ɛ.
f(x) = x², L=64, c= -8, e=0.45
The largest open interval about c on which the inequality |f(x) – L| <e holds is
(Use interval notation. Round to four decimal places.)
The largest value of 8 > 0 such that 0 < |x – c| < & → If(x) – L| < e is
(Round to four decimal places.)
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Transcribed Image Text

For the given function f(x) and values of L, c, and ɛ > 0 find the largest open interval aboutc on which the inequality |f(x) - L|<ɛ holds. Then determine the largest value for 8 > 0 such that 0< |x – c| <8→ |f(x) – L| < ɛ. f(x) = x², L=64, c= -8, e=0.45 The largest open interval about c on which the inequality |f(x) – L| <e holds is (Use interval notation. Round to four decimal places.) The largest value of 8 > 0 such that 0 < |x – c| < & → If(x) – L| < e is (Round to four decimal places.)