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n E(-1) n n=1

n E(-1) n n=1

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Help with hw to find out if the series is convergent or divergent

The image displays a mathematical series involving an alternating sign, logarithmic function, and division. The series is written as: \[ \sum_{n=1}^{\infty} (-1)^n \frac{\ln n}{n} \] This represents an infinite sum starting from \( n = 1 \) to infinity. Each term in the series is calculated by taking the natural logarithm of \( n \), dividing it by \( n \), and then multiplying by \((-1)^n\), which alternates the sign of each subsequent term.
Transcribed Image Text:The image displays a mathematical series involving an alternating sign, logarithmic function, and division. The series is written as: \[ \sum_{n=1}^{\infty} (-1)^n \frac{\ln n}{n} \] This represents an infinite sum starting from \( n = 1 \) to infinity. Each term in the series is calculated by taking the natural logarithm of \( n \), dividing it by \( n \), and then multiplying by \((-1)^n\), which alternates the sign of each subsequent term.
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