4. Find 86, the sum of the first six terms, of the series. Give your answr in exact form in the first line and also as a decimal rounded to 5 decimal places in the second line. 86 22 n=1 (-1)" In n n The remainder of the series an is defined by Rn =8 = -Sn an+1+an+2+an+3+... The Alternating Series Estimation Theorem provides the bound for the possible error Rn in the approximation of the sum of an alternating series.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Find 86, the sum of the first six terms, of the series. Give your answr in exact form
in the first line and also as a decimal rounded to 5 decimal places in the second line.
86
22
ANT
n=1
(-1)" In n
n
The remainder of the series an is defined by
n=1
Rn =8 -Sn =
an+1+an+2+an+3+...
The Alternating Series Estimation Theorem provides the bound for the possible error Rn
in the approximation of the sum of an alternating series.
Transcribed Image Text:4. Find 86, the sum of the first six terms, of the series. Give your answr in exact form in the first line and also as a decimal rounded to 5 decimal places in the second line. 86 22 ANT n=1 (-1)" In n n The remainder of the series an is defined by n=1 Rn =8 -Sn = an+1+an+2+an+3+... The Alternating Series Estimation Theorem provides the bound for the possible error Rn in the approximation of the sum of an alternating series.
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