(7) Let S = {1- (-1)" | neN}. Determine inf S and sup S. Justify. n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Help me answer number 7 only.
(6) Let A be a bounded set of real numbers. Show that both l.u.b. A and g.l.b. A are in cl A. However, show that
each of these need not necessarily be an accumulation point of A.
(7) Let S = { 1 − (−1)″ | n € N}. Determine inf S and sup S. Justify.
n
Transcribed Image Text:(6) Let A be a bounded set of real numbers. Show that both l.u.b. A and g.l.b. A are in cl A. However, show that each of these need not necessarily be an accumulation point of A. (7) Let S = { 1 − (−1)″ | n € N}. Determine inf S and sup S. Justify. n
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