Homework 13

# Homework 13 - miller(dkrnﬁ4-5-— HW13 — hamrick...

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Unformatted text preview: miller (dkrnﬁ4-5) -—- HW13 — hamrick M (57395) \ 1 .kﬂ/L This print—out should have 20 questions. \3( «47" W Muitiple-choice questions may continue on @conditionally converge t .550; ﬂwlii’f- ” in“, the next column or page we ﬁnd all choices Q . CC (I {in-{'9 before answering. 3. absoiutely convergent we; 2» " 081 10.0 points 004 10.0 points M . . . . r“ f ..... ._ ._.‘ g’E—Iiqu- Determine Whether the series Determine Whether the series; Art s/(W. 2 2 2 2 2 I \ i3, » div “ W_~l”-w -+—m... 0° 5 5m‘“'i’”“ ’4'” J 3 4 5 6 7 Z (mun wet HM??? ' is conditionally convergent, absolutely con— nn2 nlnn w r»- HP vergent or divergent. A _ 'e r‘ “ converges conditionaily, converges absolutely, , U 1. series is absolutely convergent 01“ diverges- as. g 5%: e24; sewer: W 59" ‘= "-" 2_ series is divergent @eries converges conditionally it.“ e 3:3: ies is conditionally convergent 2' series diverges 002 10.0 points 3. series converges absolutely Which one of the following series is conver~ 005 10.0 points gent? (r 7 g m. - 1 '2 Determine Whether the series 1 y3+gfvira 00 m5 r '.l. ) ‘ I 4 to: 7 ‘ 10.0 points MW 00 I r' 0 ‘5" a H . , 77 lg' ("Ugh \Wbetermine if the series ' rug“ 2; 4 + W iékl‘iv—ﬁ j (2;) , MW .53; 00 3 10.0 points V? I 2 (g) “ i?" Determine " her the series It it: I 1- “\$2 Lax: ,k. I. '_ 1"." r, (AL 00 RH 33/” converges or diverge . a. Z (“1) m 3 3 11:1 2% i "J \- 1 - , Mr ‘1“ er: 1; . SBI'leS converges ‘ him 1) g __,_i 3 A is absoiutely convergent, conditionally con— M we; \' r. L, d Verge“: of divergent. 2. rice diverges { 3: .le If“ ‘ f.‘ ' 1. divergent i . W 00'? 10.0 points Wm... "M i a 1m 1; ’7 ilx‘ 7 {a A”: l 1°” (b miller (dkm645) w HW13 ~ hemrick — (57395) 2 To apply the root test to an inﬁnite series Zn on the value of 5. A m m - 1m - p " nlgrée (an) 10.0 points has to be determined. Compute p for the series 1 Which one of the following properties does the series 00 n 7tan"1 n 00 5712 + 2 E _ E : ("mun—w]. "W 371 n——1 . in 11.:1 " -‘-~« 1’ ‘ {rqu {maxym 5M h ‘? :4 r ~§E 1 ,0 m .2. 3”“ {téwwtw :1 ave' ‘ ' M 7 WW"? ‘ ‘ LX- * v» 4 ,A @a‘osoluteiy convergent § : " "i" 271' r 5 i 2, = m ‘ '0 7 we? L9 2. divergent R A . g 3. conditionally cenvergent "‘- 771. {310 10.0 points u 10 ..,_ *g‘ f “3:” {gr}? 7 Which one of the foliowing properties does —— the series /‘—. “M ‘8‘ °° (—6)“ er» Ere"). “"1 (714:3: have? " m 3 To apply the ratio test to the inﬁnite series . M (L [97 " ow ' i E 65m the Value ,1 bsolutely convergent we“? __ X W n, -‘ A” 2. conditionaily convergent 1‘ M h L r: M m r, ' f" 4 a _ A = 11m “41 “‘ (1%: 3.; \ “W00 0% . M «mm "H 3. divergent _ ‘ M wk“ 0 d: has to be determined 353:5?” W“ ‘n "— f " 7 011 10 0 points “WW” Compute A for the series me some)? Determine whether the series 0° (___1)n+}. 2% rim—:1 0° 1 2; 371—1-2 n—l 1, A = is absolutely convergent, conditionally con— vergent, or divergent. 2- A = ""9 1. divergent 3. A m x a @conditioneﬂy convergent 3. absoluteiy convergent miller (dkmﬁélS) ~ HW13 — hsmrick w (57395) 3 / 1112 10.0 points 4. both of them 1/ 10.0 points Find all integers m > 1 for which both of the inﬁnite series \f Which, if any, of the following statements are true? A. If line on = 0, then 2 an converges. WWOO 51f 2 an is divergent, then X lanl is divergent. C. The Ratio Test can be used to determine whether 2 1/713 converges. 1. Conly Z .%n ~.: ’ In.” 2. A-end C only HM 'A 4’0. {3‘4" U3 3 . i ' ._ 3. all of them [farm l. i ‘ M . ‘\ Decide Whether the series 4. A oniy iW‘gz" 00 n n m 1 “2 . R" Z 4 ( n > ’L ’5. none of them n:1 ’ \/ W _ \iufdp =,{’“( i ‘A ’ converges or diverges. K _““ 6;. A and B only 1. converges V, o\ ‘03 I" We: . v” {if B only \Jx‘ PU @ diverges --—-—-------——-—-—-——-—————--————- 8. B and C only 014 10.0 points Determine which, if any, of the following _ ‘ _ b «1- i {X series diverge. , - W Li Wei) W ﬂ {316 10.0 points v 4 , , A) n, . QJM l“ W m. Determine which, if any, of the series ‘ ()0 4n L 1 new Z (m1)nwl 571 E 2W1,“ (B) W 4 .mw-tv __ 2n2+3 em (n + HA i {( vac "Q “envy; 1. '1 H1» . W 1:. 1 neither of theikriwog W ' ) B’ Z (Mun m“ w» . W ‘ y _ 2. B only UM My 1) V” are absolutely convergent. \ Lie“ k b\. only I i; M %_ «a 1. A only inf“? l miner (skmeze) — HW13 ~ hamrick m (57395) 4 @her of them A oniy 3. both of them 019 10.0 points Which of the following properties does the 4° series B only i (_4)n m1 (Zn)! 017 10.0 points 7'7" h -? Determine Whether the series avg 00 m4 ﬂ 1. divergent Z (*1) 5m + 4 m: 1 absolutely convergent is absolutely convergent, conditionally con" 3. conditionally convergent vergent or divergent. 1. absoluteiy convergent 2. éivergent 00 1 (—1)?”1 cos @ conditionally convergent “23:1 373 018 101] points is absoiuteiy convergent, conditionally eon— vergent or divergent. :Vhigh, if any, of the following statements are 1. conditionaﬁy convergent rue. @ The Root rFest can be used to determine 2- abSOIule convergent "Sth- er the series ‘ 3 series is divergent DO 111 is ’9 ‘4. Z ( ) it; kxl 2 ~§~ k 1&1?“ converges or diverges. B. The Ratio Test can be used to deter~ ' J. ‘ mine Whether the series Lwei‘)‘ 3 00 \ E 1 i it. 3‘" d n2 “i n a: 1 converges or diverges. W) ﬂute 1. neither of them 2. B only 3. both of them ...
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Homework 13 - miller(dkrnﬁ4-5-— HW13 — hamrick...

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