means: For all € > 0) there is a > 0) such that for all x satisfying 0 < x-c| < 6 we have that |f(x) - L| < E. What if the limit does not equal L? Think about what the means in €, & language. Consider the following phrases: 1. € > 0) 2.8 > 0 3.0< x-c| < 6 4. f(x) - L > € 5. but lim f(x) = L x→c 6. such that for all 7. there is some 8. there is some x such that Order these statements so that they form a rigorous assertion that lim f(x) + L and enter their reference numbers in the appropriate sequence in these boxes: 3 2 7 4 6 5 8
means: For all € > 0) there is a > 0) such that for all x satisfying 0 < x-c| < 6 we have that |f(x) - L| < E. What if the limit does not equal L? Think about what the means in €, & language. Consider the following phrases: 1. € > 0) 2.8 > 0 3.0< x-c| < 6 4. f(x) - L > € 5. but lim f(x) = L x→c 6. such that for all 7. there is some 8. there is some x such that Order these statements so that they form a rigorous assertion that lim f(x) + L and enter their reference numbers in the appropriate sequence in these boxes: 3 2 7 4 6 5 8
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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Can someone help me with this question please.

Transcribed Image Text:means:
For all € > 0) there is a > 0 such that for all x satisfying 0 < x-c| < 6 we have that
|f(x) - L| < €.
What if the limit does not equal L? Think about what the means in €, & language.
Consider the following phrases:
1. € > 0
2.8 > 0
3.0< x-c| < 8
4. f(x) - LI > €
5. but
6. such that for all
7. there is some
8. there is some x such that
lim f(x) = L
x→c
Order these statements so that they form a rigorous assertion that
lim f(x) # L
X C
and enter their reference numbers in the appropriate sequence in these boxes:
327
4
5
8
3
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