Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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For each of the following, fill in the blanks to complete the description of the test.

Geometric Series: (Note the initial index)
A geometric series
cr" with c0 converges to
n-k
if
and diverges if
Telescoping Series:
To find the sum of a convergent telescoping series,
1. Find
2. Then
_and diverges if
The series converges if
Divergence Test:
A seriesn diverges if
We know nothing if
P-Series:
np
Converges if
Diverges if
Integral Test:
State the assumptions:
The series
and diverges if
an converges if
n1
Comparison Test:
an converges if
. Σ, diverges if,
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Transcribed Image Text:Geometric Series: (Note the initial index) A geometric series cr" with c0 converges to n-k if and diverges if Telescoping Series: To find the sum of a convergent telescoping series, 1. Find 2. Then _and diverges if The series converges if Divergence Test: A seriesn diverges if We know nothing if P-Series: np Converges if Diverges if Integral Test: State the assumptions: The series and diverges if an converges if n1 Comparison Test: an converges if . Σ, diverges if,
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