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2. Use limits to determine if the the following sequences converge or diverge. If the sequence converges, determine its limit as an exact value. (a) {an} with an = ln(4n²+1) - ln(n² - 1) (d) {dn} with dn = 3¹/n (b) {bn} with bn = (c) {an} with an = n πn 8n³ + 3 n² 1/3 (e) {bn} with bn = n 2 (¹ + ²/)" (f) {n} with cn = = el-n²

2. Use limits to determine if the the following sequences converge or diverge. If the sequence converges, determine its limit as an exact value. (a) {an} with an = ln(4n²+1) - ln(n² - 1) (d) {dn} with dn = 3¹/n (b) {bn} with bn = (c) {an} with an = n πn 8n³ + 3 n² 1/3 (e) {bn} with bn = n 2 (¹ + ²/)" (f) {n} with cn = = el-n²

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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2. Use limits to determine if the the following sequences converge or diverge. If the sequence converges, determine its limit as an exact value. = In (4n² + 1) - ln(n² - 1) n πn (a) {an} with an = (b) {bn} with bn = (c) {an} with an = 3 n² 8n³ + 1/3 (d) {dn} with dn = 3¹/n (e) {bn} with bn = (f) {n} with cn = n 2 (¹ + ²)" = e¹-n²
Transcribed Image Text:2. Use limits to determine if the the following sequences converge or diverge. If the sequence converges, determine its limit as an exact value. = In (4n² + 1) - ln(n² - 1) n πn (a) {an} with an = (b) {bn} with bn = (c) {an} with an = 3 n² 8n³ + 1/3 (d) {dn} with dn = 3¹/n (e) {bn} with bn = (f) {n} with cn = n 2 (¹ + ²)" = e¹-n²
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