MATH 201 Lecture 4: NOTES SECTION 9.2 PART 2 PROPERTIES OF POWER SERIES(2).2
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Department
Mathematics
Course
MATH 201
Professor
Dennis Hopkinson
Semester
Spring

Description
Theorem Gelow ayi termbytermdifferest tina and tuteyn tian areConrer However 3hee』toke careful alou,t wew uterud [TERM BY一印4( D(FFERaumen)QndT-Teana T- Theorem as Suppose fa)-Zr(x-ay: coaveyn-wwkR G) 5+4) dx, zecm)테 tcf CR Jara-ai-n convergens lk-al a Need to mdwdvawr derk f, r coauergenre at-endpoMt Need to Individu-awr=he냐 fr convergence atenpat To deter 넥neXuterual of-conungere for f%)aud Sfωdy EMMPLE Φ Find MC Lavens Series Por向: (I-x)2tasingMelawAwfb- and deter-me Wterwi Fovergence for glas So a)s f%) and AclaUrM Seria, forge) can be obtawa, by dof%nwh TayPa) 5&)-rk) DenvaTve of(Zr) ) 꿰mbyEm M4 A(x)-th):Derwatwe of(ZP) 4(X): 쁠 kxk-' ò ピ) 'Qvwiby℡rm 6,ffawt rte4 Since fork 20, 1st, tern US at kis can be reunne4 Trterwj a우 Cowevy co forgk)-3 In cludes C-1 i» WteviwicPcouweurefor-Ab) Check evd Posts x21-9 (»- 쓰릭-9 (d, 乞 → dwev9 ソーl sc-i)况kei"→ duerg.es Intervel cauerreece for 54)-(-4) Haw are and fee) related ? L KL ake gai) might be (fkMv Nx) interval Pemvege ace? couTur C-. D Char ewd P is . let ! fl-l)ご-2-Li?" . て ーーーーDiverga 5(w 5 (x) Intera)afaonveyewee cy,D to,erw/ (-1,1) Relatun ship betw-ga) and fk) Soga, free ) kx slf i) k29dk:三 읽 tawax2Teakご 져 enal decendryeceFnrga,wel_nmol)wr ntercu oceeudpact ter qual ,gu)-乞oGngeti)--S t 브리 aw):艺Akti .Thn can am un" Interval oP cowey eacefoew 더,n | GD Find MLNaUlin Series and w terval σf converquee for: cave yes ONC-W) Relahan.hip between SGO and fk? Looes hre gGais aenvariva affa) Ins Theorem Gelow ayi termbytermdifferest tina and tuteyn tian areConrer However 3hee 』 toke careful alou , t wew uterud [ TERM BY 一 印 4 ( D ( FFERaumen ) QndT - Teana T- Theorem as Suppose fa ) -Zr ( x - ay : coaveyn - wwkR G ) 5 + 4 ) dx , zecm ) 테 tcf CR Jara - ai - n convergens lk - al a Need to mdwdvawr derk f , r coauergenre at - endpoMt Need to Individu - awr = he 냐 fr convergence a
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