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MATH 0413 (29)
Pan Yibiao (29)
Lecture 28

MATH 0413 Lecture 28: math-0413-lecture-notes-28
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Department
Mathematics
Course
MATH 0413
Professor
Pan Yibiao
Semester
Spring

Description
03/15/17 Problem ✓ - To show that . re def of Wmif - him n = 0 - n → no an If . - - = ;÷ , oljin in ÷ , t.tt#i.l = 9W qn < = CI ) - Fw 4.1 N 4ns 418 9 9 Few any E > 0 , E 112 and FE 7 0 , Thus , by The AP ay , > 9- I k C- IN sit. k > 0 . YE when men , n > 9 - 4 E ⇒ 4 4rad to ⇒ 9- < E t nzn cos 4h a ) E (2) , we have . < E combining - . |yn÷g nz of n3 Thus , by The def . of www.t , wm - = ° . ng n→x Fn let = m - the IN Pyburn Xn Twilit when n Is even : when w is odd : . Xn . n M¥114 xn . n - Fta = - = n - n (n41/z# €5 ) - = 1/2 = 1/2 Tms = - FKG IN , yzµ % = 112 FKEIN . Xyn ., Since Sol both {Xgµ} E { Xgn . } are convergent . , him = - Xyn 11g F . = ya x wnm→oX2n , 112 / { Un } must be divergent [email protected] . whew NEK . XNL % let An = - Un the 1N . nyn An } is and By , { con
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