Find a bound for the remainder R30 when using the 30th partial sum to approximate Hint: Use the estimate RN < R30 VI ∞ 8 SN 25 d - dx n=1 ∞

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a bound for the remainder R30 when using the 30th partial sum to approximate
Hint: Use the estimate RN <
R30
VI
2
∞0 8
- dx
x5
n=1
8
Transcribed Image Text:Find a bound for the remainder R30 when using the 30th partial sum to approximate Hint: Use the estimate RN < R30 VI 2 ∞0 8 - dx x5 n=1 8
Expert Solution
Step 1: Introduce of the reminder

Here given series

sum from n equals 1 to infinity of 8 over n to the power of 5

Now to find 

R30  bound

As we know

RN less or equal thanintegral subscript N superscript infinity a subscript x d x


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