Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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I need help figuring out what tests or methods are used to determine if these statements are true or false. So which are true and which are false and why.

2. Below is a set of true or false statements. To the left of each statement write T or F (True or False, respectively).
Below the false statements, explain why they are false.
1. If the limit of {an} is non-zero, it's guaranteed that the series E a, diverges.
2. If the limit of {Sn} is five, it's guaranteed that the sequence {an} diverges.
3. If the limit of {a,} is zero, it's guaranteed that the series E an converges.
4. If the limit of {sn} is zero, we are unable to determine the sum of E an.
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Transcribed Image Text:2. Below is a set of true or false statements. To the left of each statement write T or F (True or False, respectively). Below the false statements, explain why they are false. 1. If the limit of {an} is non-zero, it's guaranteed that the series E a, diverges. 2. If the limit of {Sn} is five, it's guaranteed that the sequence {an} diverges. 3. If the limit of {a,} is zero, it's guaranteed that the series E an converges. 4. If the limit of {sn} is zero, we are unable to determine the sum of E an.
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