quiz2 - -111.::0 . .) ) /td Vtva-Q;:; (-\ ) , )---3. (5...

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/ Name j rJlrh n!i 15 Math 253 Quiz 2 (20 points) 1. (5 points) Find the radius of convergence and interval of convergence of the series :t (-2)n xn n=l V;; .17~, /)' ?1-h t:rH I 'tr;:::- \ Kohe /8.11: --u~m I (-2) X .~ =- Q/)(I- \ == .{ \>d ' 11 -) oC v;;I f.{ )"1f xJ1 Cf :21 >(l~l 07/ ixl<: ~ =) ~ -1) 00 I)') I 00 ~> Z (-;II Mf> ~ Z)_.- ))ivehge.<d-(f-i'Vu1:f) 'Yho) '\fY) /)1-I {7i () , i 00 'YI I PO 'Y) " i AtJ-e.;vu(J-, '/I.(~I\ X=.2 =-) Z (-2 , J 2~ - z.. L: i) ~v~1tLCt l Se.<uts U) ()1=1 4~ - 1}1>/ 't.[m U i'V;t ~ 'LtJ c: J-- lu. .khvai = (.. 1,.) ~ 1 Answer .:l ) 2 ~vtk J ~ IrX~-~ I~ 2. (5 points) Find a power series representation for the function and determine the interval of convergence 1 f(x)= l-x3 I-x 0() '")- , 'v' fn ' ?-- t'" == 'r /)1:::=-0 K:::f l~vQQ v;( C§Y\VfJr~ tJ I - 1-)<.2:> ~ oC zJj<. >, 1 ~ 1- x3rn /)1::;0 (11=:0 K== I (-t,))) 00 3m LX Answer
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Unformatted text preview: -111.::0 . .) ) /td Vtva-Q;:; (-\ ) , )---3. (5 points) Determine whether the series is convergent or divergent: 00 &quot;) . m-+ ( ~--!i +!:L- i-}- '-' ~ 4&quot; L-(-I) 1 Ii q /0 '1),; 0 t11 --t 7 f1{?Jvvno;h't77 (J fUt.le J M &quot; bm:::: 2-: of e~ 'rng . m+7} U em I7vU0{-;&gt;, ~'fYf) b']A ~ V. /)1-70() 4 4 4 4 4---+---+--. .. 7 8 9 10 11 Answer C&amp;m!&amp;() eu.T 4. (5 points) Determine whether the series is absolutely convergent: f (-lO)n n=! n!---t. frn /}1 .-7oe) 10-(&quot;J?.fI '1\ I. \ = . 0-' 0)'1) I &lt;I ~) Ah~. +--em,V~eLU ~1&gt;e 7d ~--t 'frY) \ (-. \0&quot;'+ 1 l (i1&lt;+i) \-,/]1-? DO Answer &quot;Ie~ j...
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quiz2 - -111.::0 . .) ) /td Vtva-Q;:; (-\ ) , )---3. (5...

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