Prove that each of the following sequences diverges: (a) {4n - 5} (b) {√3n+1} n² + 71 8n +3 (Hint: in each case, show that the sequence is unbounded.) (c) { 2n + 3} (d) {
Prove that each of the following sequences diverges: (a) {4n - 5} (b) {√3n+1} n² + 71 8n +3 (Hint: in each case, show that the sequence is unbounded.) (c) { 2n + 3} (d) {
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Prove that each of the following sequences diverges:
(a) {4n-5} (b) {√3n+1}
2n 3
(c) { ²n + ³} (d) {
n² + 7
8n +3
(Hint: in each case, show that the sequence is unbounded.)
Expert Solution
Step 1
We know if a sequence is unbounded the it is divergent.
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