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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Determine if each sequence converges or diverges. Find the limit of any convergent sequences.
4+n-3n²
4n²+1
(a) {
(b) {ln(12n+2) - In(9+4n)}
(2n-1)!
n!
(c) {.
(d)
cos(nπ)
2}
n
(e) {(1 + ²)"}
(f) {n(√n² +1 − n)}
82n
n!
Transcribed Image Text:1. Determine if each sequence converges or diverges. Find the limit of any convergent sequences. 4+n-3n² 4n²+1 (a) { (b) {ln(12n+2) - In(9+4n)} (2n-1)! n! (c) {. (d) cos(nπ) 2} n (e) {(1 + ²)"} (f) {n(√n² +1 − n)} 82n n!
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