MATH 0413- Midterm Exam Guide - Comprehensive Notes for the exam ( 31 pages long!)

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13 Oct 2017
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Q then r is r tr r rs. 0 with occurring of and only if x=o iv :) That by does not we shall write we. Xn is not bounded we say it is unbounded. { xn is monotone and bounded then it. { bn } are both convergent on is convergent win nax bn win n x an. 9 tfn general an bn wing . an. { yn } is a convergent sequence and wnin 4n nw maxn= win n x. { cns is convergent thing . cn hung. 3 . e none that ( 2 win n x. Wang . ( laf , o thus tnt no. { xn } has a convergent subsequence e . E ng n where n we have n ng. { xnn } is a decreasing sequence a mono who ii. {xn3 has only a bonito number of peaks. Canary sequence if the yeowowvnig is true t.