4. If an + 0, prove that |an+1| lim inf |an+1| < lim inf Jan| < lim sup lan] <_lim sup |anl |anl n→+∞ n→+∞ n→+∞ n→+∞

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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4. If an + 0, prove that
Jan+1l
lim inf
Jan+1|
< lim inf Vlan| < lim sup Vlan] < lim sup
n→+∞
n→+∞
Transcribed Image Text:4. If an + 0, prove that Jan+1l lim inf Jan+1| < lim inf Vlan| < lim sup Vlan] < lim sup n→+∞ n→+∞
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