916 A positive number and the limit L of a function f at a are given. Find a number such

Chapter 1, Problem 15

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QUESTION:

A positive number \(\epsilon\) and the limit L of a function f at a are given. Find a number \(\delta\) such that \(|f(x)-L|<\epsilon\) if \(0<|x-a|<\delta\).

                                \(\lim _{x \rightarrow 5} \frac{1}{x}=\frac{1}{5} ; \epsilon=0.05\)

Equation Transcription:

Text Transcription:

espilon

delta

|f(x) - L| < epsilon

0 < |x-a| < delta

lim_x rightarrow 5 1/x = 1/5; epsilon = 0.05

Questions & Answers

QUESTION:

A positive number \(\epsilon\) and the limit L of a function f at a are given. Find a number \(\delta\) such that \(|f(x)-L|<\epsilon\) if \(0<|x-a|<\delta\).

                                \(\lim _{x \rightarrow 5} \frac{1}{x}=\frac{1}{5} ; \epsilon=0.05\)

Equation Transcription:

Text Transcription:

espilon

delta

|f(x) - L| < epsilon

0 < |x-a| < delta

lim_x rightarrow 5 1/x = 1/5; epsilon = 0.05

ANSWER:

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