For each of the following, prove the sequence converges, and determine the limit. (a) {xn}, where x„ = 0. 1212...12 %3D 2n digits b) {yn}, where yn = 0. 142857142857..142857 6n digits c) {zn}, where zn = 0.7222...2 n digits

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For each of the following, prove the sequence converges, and determine the limit.
(a) {xn}, where xn =0.1212...12
%3D
2n digits
(b) {yn}, where yn = 0.142857142857..142857
%3D
6n digits
(c) {zn}, where zn = 0.7222...2
n digits
Transcribed Image Text:For each of the following, prove the sequence converges, and determine the limit. (a) {xn}, where xn =0.1212...12 %3D 2n digits (b) {yn}, where yn = 0.142857142857..142857 %3D 6n digits (c) {zn}, where zn = 0.7222...2 n digits
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