Solution Found!
Suppose that f(x) is a function such that for any given > 0, the condition 0 <
Chapter 1, Problem 2(choose chapter or problem)
QUESTION:
Suppose that \(f(x)\) is a function such that for any given \(\epsilon>0\), the condition \(0<|x-1|<\epsilon / 2\) guarantees that \(|f(x)-5|<\epsilon\). What limit results from this property?
Equation Transcription:
Text Transcription
f(x)
epsilon > 0
0 < |x-1| < epsilon/2
|f(x)-5| < epsilon
Questions & Answers
QUESTION:
Suppose that \(f(x)\) is a function such that for any given \(\epsilon>0\), the condition \(0<|x-1|<\epsilon / 2\) guarantees that \(|f(x)-5|<\epsilon\). What limit results from this property?
Equation Transcription:
Text Transcription
f(x)
epsilon > 0
0 < |x-1| < epsilon/2
|f(x)-5| < epsilon
ANSWER:
Step 1 of 3
Let is a function. For any given number there is a number such that :