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(A) Prove if each of the series belo Show your work and justify your ez (i) +o0 e8n Vn! Σ n=1 +oo (ii) Σ S (-1)"4"-7 23n n=1

(A) Prove if each of the series belo Show your work and justify your ez (i) +o0 e8n Vn! Σ n=1 +oo (ii) Σ S (-1)"4"-7 23n 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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(A) Prove if each of the series below converges or diverges. Show your work and justify your explanation: (i) \[ \sum_{n=1}^{+\infty} \frac{e^{8n}}{\sqrt{n!}} \] (ii) \[ \sum_{n=1}^{+\infty} \frac{(-1)^{n} 4^{n-7}}{2^{3n}} \]
Transcribed Image Text:(A) Prove if each of the series below converges or diverges. Show your work and justify your explanation: (i) \[ \sum_{n=1}^{+\infty} \frac{e^{8n}}{\sqrt{n!}} \] (ii) \[ \sum_{n=1}^{+\infty} \frac{(-1)^{n} 4^{n-7}}{2^{3n}} \]
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