Use Exercise 89 to determine how many terms of each series are needed so that the partial
Question:
Use Exercise 89 to determine how many terms of each series are needed so that the partial sum is within 10-6 of the value of the series that is, to ensure |Rn| -6).
a.
b.
Data from Exercise 89
Consider the geometric series which has the value 1/(1 - r) provided |r| be the sum of the first n terms. The magnitude of the remainder Rn is the error in approximating S by Sn. Show that?
Transcribed Image Text:
0.72k k=0 Σ(-0.25) k=0 S = pk k=0 R₁ = S-S₁ Sn ph 1 – r
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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