The series Σ (3n+2) is convergent. (A). According to the Remainder Estimate for the Integral Test, the error in the approximation aa (where. a the value of the infinite sum and , is the n-th partial sum) is - 1/150 (B). Find the smallest value of n such that this upper bound is less than 0.00007

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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The series
IMR
1
(3n+2)³
is convergent.
(A). According to the Remainder Estimate for the Integral Test, the error in the approximation (where a is the value of the infinite sum
and a,, is the n-th partial sum) is
18-1/150
71 m
(B). Find the smallest value of n such that this upper bound is less than 0.00007.
Transcribed Image Text:The series IMR 1 (3n+2)³ is convergent. (A). According to the Remainder Estimate for the Integral Test, the error in the approximation (where a is the value of the infinite sum and a,, is the n-th partial sum) is 18-1/150 71 m (B). Find the smallest value of n such that this upper bound is less than 0.00007.
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