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Use a graphing utility to determine the first term that is less than 0.0001 in each of the convergent series. Note that the answers are very different. (If necessary round your answers up to the next integer value.) ۳ )0.1( n = Explain how this will affect the rate at which the series converges. O The series converges at a faster rate than 2n (0.1)". n= 1 n = 1 O The series converges at a slower rate than - 2" n = 1 * (0.1)". n = 1

Use a graphing utility to determine the first term that is less than 0.0001 in each of the convergent series. Note that the answers are very different. (If necessary round your answers up to the next integer value.) ۳ )0.1( n = Explain how this will affect the rate at which the series converges. O The series converges at a faster rate than 2n (0.1)". n= 1 n = 1 O The series converges at a slower rate than - 2" n = 1 * (0.1)". n = 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use a graphing utility to determine the first term that is less than 0.0001 in each of the convergent series. Note that the answers are very different. (If necessary round your answers up to the next integer value.) 1 2n n = 1 n = 00 E (0.1)" n = 1 n = Explain how this will affect the rate at which the series converges. 00 1 converges at a faster rate than 2" E (0.1)". O The series n = 1 n = 1 00 Σ 1 converges at a slower rate than 2" Σ I (0.1)". The series n = 1 n = 1 /-
Transcribed Image Text:Use a graphing utility to determine the first term that is less than 0.0001 in each of the convergent series. Note that the answers are very different. (If necessary round your answers up to the next integer value.) 1 2n n = 1 n = 00 E (0.1)" n = 1 n = Explain how this will affect the rate at which the series converges. 00 1 converges at a faster rate than 2" E (0.1)". O The series n = 1 n = 1 00 Σ 1 converges at a slower rate than 2" Σ I (0.1)". The series n = 1 n = 1 /-
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