Please show all the work including the test being used. Thank you This is a mathematical expression representing an infinite series. The series is presented as:\[3. \quad \sum_{n=1}^{\infty} \frac{(\ln n)^2}{n^3}\]### Explanation:- **Summation Notation (\(\sum\)):** This symbol indicates that you are summing a sequence of terms. The index \(n\) starts at 1 and goes to infinity (\(\infty\)).- **Expression (\(\frac{(\ln n)^2}{n^3}\)):** - \(\ln n\) refers to the natural logarithm of \(n\). - \((\ln n)^2\) means that this logarithm is squared. - This squared logarithm term is divided by \(n^3\).The series is asking you to sum all terms of this form starting from \(n = 1\) up to infinity. Each term becomes progressively smaller as \(n\) increases, due to the division by \(n^3\). This is a typical expression you'd encounter in advanced calculus or analysis when studying convergence of series.

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Description: Please show all the work including the test being used. Thank you This is a mathematical expression representing an infinite series. The series is presented as:\[3. \quad \sum_{n=1}^{\infty} \frac{(\ln n)^2}{n^3}\]### Explanation:- **Summation Notati

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Answered: (Inn) 3. n' 3 n=1

Math

Advanced Math

(Inn) 3. n' 3 n=1

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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