1. (a) Apply Theorem 3.2.11 of the text to show that the sequence (b) Prove that the sequence converges. Σ IM ³° kk (mm) converges to 0. 3.2.11 Theorem Let (x) be a sequence of positive real numbers such that L := lim(xn+1/xn) exists. If L< 1, then (xn) converges and lim(x) = 0.
1. (a) Apply Theorem 3.2.11 of the text to show that the sequence (b) Prove that the sequence converges. Σ IM ³° kk (mm) converges to 0. 3.2.11 Theorem Let (x) be a sequence of positive real numbers such that L := lim(xn+1/xn) exists. If L< 1, then (xn) converges and lim(x) = 0.
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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use the theorem in the picture provided to prove that sequence in the other picture converges to 0,
please explain each step in detail and show all the work
Transcribed Image Text:1. (a) Apply Theorem 3.2.11 of the text to show that the sequence
(b) Prove that the sequence
converges.
Σ
IM ³°
kk
(mm)
converges to 0.
Transcribed Image Text:3.2.11 Theorem Let (x) be a sequence of positive real numbers such that L :=
lim(xn+1/xn) exists. If L< 1, then (xn) converges and lim(x) = 0.
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