6. Let {n} and {yn} be the following sequences that repeat in cycles of four: n = 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, ... and Yn 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2... Find (a) lim inf an + lim inf yn (b) lim inf(n + Yn) (c) lim supan + lim sup yn

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6. Let {n} and {yn} be the following sequences that repeat in cycles of four:
n = 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, ...
and
Find
(a) lim inf xn + lim inf
Yn
Yn = 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2...
(b) lim inf(xn + Yn)
(c) lim sup n + lim sup yn
Transcribed Image Text:6. Let {n} and {yn} be the following sequences that repeat in cycles of four: n = 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, ... and Find (a) lim inf xn + lim inf Yn Yn = 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2... (b) lim inf(xn + Yn) (c) lim sup n + lim sup yn
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