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Prove that lim n! = 0. Hint: Show that 0 < 2 n! n-2 ≤ 2(3) ¹-² for all n ≤ 2.

Prove that lim n! = 0. Hint: Show that 0 < 2 n! n-2 ≤ 2(3) ¹-² for all n ≤ 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove that lim 2 n! = 0. Hint: Show that 0 < 2" n-2 2 ≤2()*² for all n ≤ 2. n!
Transcribed Image Text:Prove that lim 2 n! = 0. Hint: Show that 0 < 2" n-2 2 ≤2()*² for all n ≤ 2. n!
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