Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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In each of the cases below decide if {n}_1 converges or not: (a) In (b) In 2" (c) Xn n! (d) xn = nb", for b = (0,1) = = n √n²-n- -n
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Transcribed Image Text:In each of the cases below decide if {n}_1 converges or not: (a) In (b) In 2" (c) Xn n! (d) xn = nb", for b = (0,1) = = n √n²-n- -n
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Step 1: Introduction of the given problem
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Step 2: Determining the sequence is convergent or divergent
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Step 3: Determining the sequence is convergent or divergent
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Step 4: Determining the sequence is convergent or divergent
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In the second sequence, between the second to last line, it looks as though an extra n was pulled out of the limit. Why is that?

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Follow-up Question

In the second sequence, between the second to last line, it looks as though an extra n was pulled out of the limit. Why is that?

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