Use the integral test criterion to determine the minimum number of terms N that must be added to find the sum of 00 with an error of no more than 0.1. In other words, R = Σ n=2 n (Inn) 3 Hint: Recall that the reminder R, satisfies the following inequlity: N 00 1 Σ· n=2 n (Inn) N 1 Σ n=2 n (Inn) 3 00 [°° f (x) dx < R < N N+1 <0.1. f* f (x) dx N

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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Use the integral test criterion to determine the minimum number of terms N that must be added to find the sum of
00
with an error of no more than 0.1. In other words, R =
Σ
n=2 n (Inn) 3
Hint: Recall that the reminder R, satisfies the following inequlity:
N
00
1
Σ·
n=2 n (Inn)
N
1
Σ
n=2 n (Inn) 3
[°°ƒ (x) dx < R <
N
N+1
<0.1.
f* f (x) dx
N
Transcribed Image Text:Use the integral test criterion to determine the minimum number of terms N that must be added to find the sum of 00 with an error of no more than 0.1. In other words, R = Σ n=2 n (Inn) 3 Hint: Recall that the reminder R, satisfies the following inequlity: N 00 1 Σ· n=2 n (Inn) N 1 Σ n=2 n (Inn) 3 [°°ƒ (x) dx < R < N N+1 <0.1. f* f (x) dx N
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