When demonstrating that lim (2x + 3) = 7 with ε = 0.2, which of the following d-values suffices? x → 2 [There may be MORE THAN ONE correct answer, so select all that apply] = 0.2 ✓ = 0.11 = 0.01 = 0.033333333333333
When demonstrating that lim (2x + 3) = 7 with ε = 0.2, which of the following d-values suffices? x → 2 [There may be MORE THAN ONE correct answer, so select all that apply] = 0.2 ✓ = 0.11 = 0.01 = 0.033333333333333
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Please indicate why the answers work.
![**Problem:**
When demonstrating that
\[
\lim_{x \to 2} (2x + 3) = 7
\]
with \(\varepsilon = 0.2\), which of the following \(\delta\)-values suffices?
[There may be MORE THAN ONE correct answer, so select all that apply]
- [ ] \(\delta = 0.2\)
- [x] \(\delta = 0.11\)
- [x] \(\delta = 0.01\)
- [x] \(\delta = 0.0333333333333333\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54e8c682-be67-4ef0-bd1d-cf8b2e543b76%2Fdee0cd4a-e63a-406d-8ae7-5f28d6fa7ad8%2Fjhyd7o_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
When demonstrating that
\[
\lim_{x \to 2} (2x + 3) = 7
\]
with \(\varepsilon = 0.2\), which of the following \(\delta\)-values suffices?
[There may be MORE THAN ONE correct answer, so select all that apply]
- [ ] \(\delta = 0.2\)
- [x] \(\delta = 0.11\)
- [x] \(\delta = 0.01\)
- [x] \(\delta = 0.0333333333333333\)
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