test1solns - M408D AP-Honors Max score = 100 Circle...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M408D AP-Honors Max score = 100 Circle discussion group: 8:30 1:00 Test 1 2:00 ESP 9/30/09 Keg Name - Printed Show your work in the space provided except for problem 7. Circle your answers. No cell phones, calculators, etc. are permitted. 1. Find the limit, if it exists. Your answer should be numeric. 71—?OO (6) - “Ob 3‘) 11m xl/glnx Film (} Ich‘l'MMI/xq‘lt O {/3 ac—>0+ I \ (6)—/ A LN. Jaw =/,m ,3x xaa X mo 3 / er+fimm ‘v‘lc 0 ‘ 00 b) lim (tan”1n—Z)n form Is It” I l ‘6) W 2 v' w UH 7:? ,. J: .— / +4,“ V‘“ _'_ llm ’ [m 1+“ A IN ______..-———-‘—‘\ _,__ ’\ 2— kg 00 /n n") 00 n h->ao -l l 2- m = 0) lim sin_1( 4” 1171+“ (/0 Z 7‘ 8112 + 27713/2 + n —— 6 >:. 2. Find, if convergent, /00 $35954 day 2: //m I X C 90" 1 .6900 l K7 be an de M J— ,. (6) 3 f‘x‘f ___ _ i {e u = _, a!- C 2 ’L/ 6 X G 32" ' I7 ‘1 H {T “X UL: 'xk’ 3 ID : /,M ff;- (3 )l A? R“ 1 A?“ K fad) ‘1 I i 09 : Xsfix J. ’f+ “L g : tfioo 3. Find the sum of the series, if convergent. -o 4 flan) a>Zln(1+%-) = : fin U—fl — Z («a V‘ n22 “:2. K52. g» It — 3 (6); :[email protected] m. flankgplimflflfl ) Ii h=z 71 , +é€nfln+lrzgufi):£nfi4a’flqz 0‘ 3 b) :3"(7r+1)_" , i (3;; n=4 h: (6) No“) i. 11TH \ \ L ’3 > , i — TH: Tr+| TTH ‘1 TN: 3 Ono—3 4. Classify as AC / CC / DIV. Remember to show your work / give your reasoning. I a) i<3naz+i> : " CMU“)L_( 9) r~ahv 7Lt_(+ n .’ ‘ I ‘L L LCT 0.10% E: 7,“, (6) :ZBIZ QM 5 DD TR I ‘7‘: CMV 4‘9 éQtV.(0’I/€J /1 L(/ e mm b a I" %/_S p\\/ 3 °° <1 >3 1 w. :0 r3 Wax/Ma, b) 2“1)"5372 3‘ w 11:2 m w v\ 3 roe/w M, v\ QM“? InV7 \_]/_ _Fm Amy n M") 3/L \ 4 b/z : 5/7 W m m C T flu _‘/— Cm“ by f'J“/u+q7L‘ f0 - \ S/y/ v\ fox H; IL @ 0° el/n2 L C) EH)" n 6);, , n21 (In (C _/——~ 0. ’14“; (64/61 WW l"D fl‘ m V V1. (6) A i A!” Z )(_\)n e/V:\ A“; L; LCTwnLA in lo 4/?“ “Mu-bx I; @ 7-4 6. Find the interval of convergence. 1-“ I X I a) iewfi we «Hack Elk‘fé’? 12"?“ m l 2h+l I)” I “Hi Mil OM?)€ W BL— - If “()0 __ Ln I T Lm+‘)l n z “ (X+Z) :: "‘ —~’V"‘ 3 (7) )C; ————\W 3 he _% I ha; £”‘&'V#3 3/ /(c M “M” +0 53 \X‘LZV 2- / 7 3 ,l 4th ’ /7— 2‘ + %; ‘nQ. —~2 _' /2 iii. 1- ? y , i“ ‘Z : *‘ DIV xzvi {rams (O‘CML’ ZC3 n Enfl‘ 3; ‘)/'L)A __ ._. —' X I 47; : jhlu Lccflfiu 23 L} (.V\ .. C') n 7. True or False (circle T or (14) a) Every monotone bounded sequence converges. b) If E an and 2 bn both converge then Z(anbn) converges. c) If f(:r) : Z bn(ac + 3)” has radius of convergence 2, 71.20 and if lim [bnll/n : B, then B = 2. “HOG d) Let an > 0, bn > 0 for all n and assume that lim a—n : 0. n—>oo bn If 2 an diverges, then 2 bn diverges. 00 e) Let Z an(m — 2)” have radius of convergence 7" = 3. n=0 Then 2 Ian I converges. f) If Zan and 2 bn both converge7 then lim (anbn) exists. ’I’L—’OO g) Iff(a:) 2 :71! :c” then f<">(o) : (my) 4?“ all n. ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern