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(5 points) Let (an) and (bn) be sequences. 1. Show that 2. Show that lim inf an - lim sup(-an). = n-x n-x lim
(5 points) Let (an) and (bn) be sequences. 1. Show that 2. Show that lim inf an - lim sup(-an). = n-x n-x lim sup(an+bn) lim inf(an) + lim inf(bn). 81x n-x n4x
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To show that lim inf an lim supan we need to prove two inequalities First lets prove that lim supan lim inf an For any 0 since lim inf an is the large...
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316
