Solution Found!
Remainder term Let Rn be the remainder associated with
Chapter 1, Problem 46RE(choose chapter or problem)
Remainder term Let \(R_{n}\) be the remainder associated with is \(\sum_{k=1}^{\infty} \frac{1}{k^{5}}\). Find an upper bound for \(R_{n}\) (in terms of n). How many terms of the series must be summed to approximate the series with an error less than \(10^{-4}\)?
Questions & Answers
QUESTION:
Remainder term Let \(R_{n}\) be the remainder associated with is \(\sum_{k=1}^{\infty} \frac{1}{k^{5}}\). Find an upper bound for \(R_{n}\) (in terms of n). How many terms of the series must be summed to approximate the series with an error less than \(10^{-4}\)?
ANSWER:Step 1 of 3
Theorem 8.12
Let 
Let 
The exact value of the series is bounded ,
