Solution Found!
Solution: In Exercises 1–6, sketch the interval (a, b) on
Chapter 2, Problem 3E(choose chapter or problem)
In Exercises 1–6, sketch the interval \((a, b)\) on the \(x\)-axis with the point \(c\) inside. Then find a value of \(\delta>0\) such that for all \(x, 0<|x-c|<\delta \Rightarrow a<x<b\).
\(a=-7 / 2\), \(b=-1 / 2\), \(c = -3\)
Equation Transcription:
Text Transcription:
(a,b)
x
c
delta > 0
x, 0 < |x - c| < delta right arrow a < x < b
a = -7/2
b = -1/2
c = -3
Questions & Answers
QUESTION:
In Exercises 1–6, sketch the interval \((a, b)\) on the \(x\)-axis with the point \(c\) inside. Then find a value of \(\delta>0\) such that for all \(x, 0<|x-c|<\delta \Rightarrow a<x<b\).
\(a=-7 / 2\), \(b=-1 / 2\), \(c = -3\)
Equation Transcription:
Text Transcription:
(a,b)
x
c
delta > 0
x, 0 < |x - c| < delta right arrow a < x < b
a = -7/2
b = -1/2
c = -3
ANSWER:
Solution:-
Step 1 of 3
Given that
We have to draw the interval (a, b) on the x-axis with the point c inside. Then we have to find a value of δ > 0 such that for all x, 0 < |x – c| < δ a < x < b.