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
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
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F450ee851-4db0-48b4-b803-45129f62b472%2F7deb61d6-fd73-4f6d-aeec-b369b8595ea0%2Fnale3h_processed.jpeg&w=3840&q=75)
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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