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3. Determine if each sequence converges or diverges. Find the limit of any convergent sequences. (a) { 4+n-3n² 4n²+1 (b) {ln(12n + 2) - In(9 +4n)} {(2n-1)!} (c) { (d) cos(NT) n () {(1+!)"} n (f) {n(√n²+1_n)} (g) 82n n!

3. Determine if each sequence converges or diverges. Find the limit of any convergent sequences. (a) { 4+n-3n² 4n²+1 (b) {ln(12n + 2) - In(9 +4n)} {(2n-1)!} (c) { (d) cos(NT) n () {(1+!)"} n (f) {n(√n²+1_n)} (g) 82n n!

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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**3. Determine if each sequence converges or diverges. Find the limit of any convergent sequences.** (a) \(\left\{\frac{4 + n - 3n^2}{4n^2 + 1}\right\}\) (b) \(\{ \ln(12n + 2) - \ln(9 + 4n) \}\) (c) \(\left\{\frac{(2n - 1)!}{n!}\right\}\) (d) \(\left\{\frac{\cos(n\pi)}{n}\right\}\) (e) \(\left\{\left(1 + \frac{1}{n}\right)^n\right\}\) (f) \(\{n(\sqrt{n^2 + 1} - n)\}\) (g) \(\left\{\frac{8^{2n}}{n!}\right\}\)
Transcribed Image Text:**3. Determine if each sequence converges or diverges. Find the limit of any convergent sequences.** (a) \(\left\{\frac{4 + n - 3n^2}{4n^2 + 1}\right\}\) (b) \(\{ \ln(12n + 2) - \ln(9 + 4n) \}\) (c) \(\left\{\frac{(2n - 1)!}{n!}\right\}\) (d) \(\left\{\frac{\cos(n\pi)}{n}\right\}\) (e) \(\left\{\left(1 + \frac{1}{n}\right)^n\right\}\) (f) \(\{n(\sqrt{n^2 + 1} - n)\}\) (g) \(\left\{\frac{8^{2n}}{n!}\right\}\)
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