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916 A positive number and the limit L of a function f at a are given. Find a number such
Chapter 1, Problem 10(choose chapter or problem)
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 \(0<|x-a|<\delta\).
\(\lim _{x \rightarrow 3}(5 x-2)=13 ; \epsilon=0.01\)
Equation Transcription:
Text Transcription:
espilon
delta
|f(x) - L| < epsilon
0 < |x-a| < delta
lim_x rightarrow 3 (5x - 2) = 13; epsilon = 0.01
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 \(0<|x-a|<\delta\).
\(\lim _{x \rightarrow 3}(5 x-2)=13 ; \epsilon=0.01\)
Equation Transcription:
Text Transcription:
espilon
delta
|f(x) - L| < epsilon
0 < |x-a| < delta
lim_x rightarrow 3 (5x - 2) = 13; epsilon = 0.01
ANSWER:
Step 1 of 3
We want such that