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quiz8 answers_2

# quiz8 answers_2 - Math 31 — Calculus II — Spring 2010...

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Unformatted text preview: Math 31 — Calculus II — Spring 2010 Quiz 8. The bonus quiz is due on Monday, May 17. Print your First name: Last name: Show all your work! Otherwise 0 points will be assigned. 1. (2 points) Find the radius of convergence and the interval of convegence of the series 00 (x + 2)" n=1 x/n + l (3”) 2. (2 points) Find a power series representation for the function f = ln(:1:4 + 1) using Theorem 2, sec. 11.9 and Equation 1 on p. 728 (the power series represen— tation of f(w) = Show all work. “Q; h Cﬂ+i héac, M+I '5“, Ham yn+/ '96:: 00 t 23x42)”, [5 4,19; (LC/*7 vzrdaeaml— 044/ (w?) ’5) ’02 +3) ; j ’ﬁéwgﬂf—hlzz a QC: "5‘ mi? VIZ—J”?~ 5 ’71:, Vh+/ W Mal. och/#3 : H / ﬁt, A hi” (it . g: /r—/>"’ / 2%:- r ﬂ . l r'“. 5 ﬂ ’mH' Tm cm 51/55 650/! Id [1;] ii WWI / "a 1 IO {1’ z ‘ / <1 MW W _ "I!" {5 52/ f),ézgne/3 /9 4 3 ilk/W w my 1);; .M> IS ﬁaf (LAS‘ W W1% /5 Mil/“(793% -" n3, “at: H / 001w . w :0 Qxf A = 1/: Vie/q, ’5 0/65/2941???» 75—7—7; "’ /H'/ 4 g r 5a ( ﬂ/ ’7” H7~H W m” “0/ “’wm/nh'meZJO If xz—z m” ‘0’)?“ - N / ~ . / 17¢ m3” /7’;/ I744 /§ d/Vyfa¢~ 0‘3 7904 510/ {W’H : '/ , ~’ 3.4-,” f ) > f/a)’ Mn?" 4X '1’ (xx? 2:0 M ,L x W ea imm‘ .r Mir/v91 452.70%" [1.70 [7”(3 9" 1:, MM : 42 M x n90 /’X”/ <1 => /x/<_/. 7702 Ww/Crva/g . M . 9m 17w=4zwawm M H,» M0 W 0’é7‘63/IL w/QvH/gr Wile/5 We é?fo «11.0mm; f’ﬂx) of): = 44x3 w “"5 l+2c9 0/2; : 4 2/4)? X 96‘ 7L 6 (>0 ’1 I}- ?”H' "70 ' :2 ' Z Q—pjimfm.’ ,f a ﬁzc §‘{’/)Wx4nrl/ 9 , MM.” 7" 3 = M(x+4>-4nso MM kc: > gxo/mh. ‘ (_()I>X£/”‘f'9 r/< £4 1 ...
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