Using the integral estimate, what would be the smallest number of terms of this series: ∞ Σ        1/n^3 n=1 that would be added to estimate the sum with an error that would be less than 0.0001? I tried the question and I got 21 and 22 but that isn't correct.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Using the integral estimate, what would be the smallest number of terms of this series:

Σ        1/n^3

n=1

that would be added to estimate the sum with an error that would be less than 0.0001? I tried the question and I got 21 and 22 but that isn't correct. 

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