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Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let an = n (a) Explain the difference between {n}-1 and Σn=1 an

Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let an = n (a) Explain the difference between {n}-1 and Σn=1 an

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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Please solve the following problem please

Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let \( a_n = \frac{6}{n} \) (a) Explain the difference between \( \{a_n\}_{n=1}^\infty \) and \(\sum_{n=1}^\infty a_n\) (b) Evaluate \(\lim_{n \to \infty} a_n\) then explain what this tells you regarding the convergence or divergence of \( \{a_n\}_{n=1}^\infty \).
Transcribed Image Text:Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let \( a_n = \frac{6}{n} \) (a) Explain the difference between \( \{a_n\}_{n=1}^\infty \) and \(\sum_{n=1}^\infty a_n\) (b) Evaluate \(\lim_{n \to \infty} a_n\) then explain what this tells you regarding the convergence or divergence of \( \{a_n\}_{n=1}^\infty \).
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