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Quiz #8b Key - Name Calculus II Math 152-11 Quiz#8 Form B...

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Unformatted text preview: Name: Calculus II, Math 152-11, Quiz #8, Form B Note: There are 5 points of extra credit available on this quiz. 1. [20 points total] (a) [4 points] State the Ratio Test. ll" L 1 B; J 11:1 I K... - u L Ll/ iqn ("S “LjobJQ/S Lunfiafil’, u L“ / i“« 8 Wk 12, L '2 l/ («a (’“CKJSRM. 00 — 3 (b) [6 points] What can you conclude from the ratio test about the series 23—1)"—1 :2 + 3? n=4 , u -1. "L __ JL +3 [M an” I lk - L 4’3 (7“ _:‘/- I L—_\ " Moo (“*0 t, ' “—3 @HW‘} Moo M Mod w~3 K1 {’3 - L ’3 \ M y “*3 l/m ,tk ‘: H—a / 3K -—/’~ ' ,2.— ' Ma: -—-—-3\ . H V Moo “”3 7" (“twill (n1 lr": “.5431? I" la 00 (c) [10 points] Determine whether Z(—1)"_1 n=4 conditionally convergent, or divergent. n—3 n2 + 3 is absolutely convergent, N (“WM h'3 ‘70 n'? 00 .1. Z “QFB 7 i “1+3 I 15¢va me WTJ’L : Vl . at” Mt"! «a, m3 r“1.3g . H1 1,}. 5:: £13,— : l?“ 7:: 7: / £2» w 1., l \ V‘ k g I < 1m '1 °° or“ l3” 2“ “743 / UR (L NM Sew 7ml— “—3 Ln 7;; x4 «K [9‘31“ * £5“le ,3} l’l‘V 3 A 0 ‘ : MY,“ 2 PW “$3 , V l (M) [WD‘ 00 2 2. [10 points] Determine whether the series E n + 6 n=1 (2n)! sure to justify your answer by stating which test(s) you used, and arguing why those test(s) are valid. converges or diverges. Make MAW Test : K 7.0”" +g (2 )i ' 2“»: _ .n . \Ym ‘£&\ ; M WWW. - in,“ m +1)l ”BM A“ W ltd/(i L W ‘ (Mk / \M IVA/g r \ XI“ (M .Ei " A ...
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