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Quiz #8a Key

# Quiz #8a Key - Name Calculus II Math 152-11 Quiz#8 Form A...

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Unformatted text preview: Name: Calculus II, Math 152-11, Quiz #8, Form A Note: There are 5 points of extra credit available on this quiz. 1. [20 points total] (a) [4 points] State the Ratio Test. [’14, L- in y L 4: )/ 20“ IT aggololak. Cave/5L"; . IJ: L>lj {ah rs AWL, T/K Lil] Mo (”\LLS'RM. oo . . _ n— 1 (b) [6 points] What can you conclude from the ratlo test about the series;(—1)n 1712 + 1? \B\ .2:— z k (n44? + l ’ b‘x ’A (“1" l) , l/g‘? m “a mm V M 1 I 7 be n-4 an [h—l) A”) f\ A «(Lt ’\ V‘ '/ 4L L‘ 1+4 1 \ I L)“ . (In > h 1 \k l ‘ \ d— 7‘ who \ \ naoo ,; , (h l)“: (H1+\>.ﬁa l ,‘ l+l+ik~L h n1 101 00 (c) [10 points] Determine Whether Z(—1)”‘ n=1 conditionally convergent, or divergent. n2 1'n—l +1 is absolutely convergent, 04 no n~1 0‘ ”ﬂ / 1/ Z l(V\lJ:..\ '7, 2 ATM [MVl oer-«ppm «in An in v nv" V‘Z'Vl k7; “‘4 wi‘n ‘\ 1 ~ -L “Mm? 3/7; ﬂux l h 1‘ W ( w l A (wad l +‘i’1 4 80“ W! 1 ‘70 ( h’l V0 if}, ”R W AWN-h) Ski-M Tal— uq h. _ m4 l0“ ’ «(“4 gm” "” w /*“’)““‘*"W WNW . y L “‘5'" ’L M .1 x +8 3‘ (7;le [31 ”L (,0 gr 7: SJl/lmd’l W, \9k [MMWB kst) l \ l m” if; 2 K 77‘? - 9-0 _ h’“ {“4 (/1, Adm. %‘ r, f ,, Q Mm 0| +71 \F’O ~ (hwy: \7 A137 0° —\ 00 2. [10 points] Determine Whether the series 2 (23—71”)? converges or diverges. Make n=1 ' sure to justify your answer by stating which test(s) you used, and arguing Why those test(s) are valid. MTesr‘I m w 3:,\ a «LL \ m m (\JDDO ...
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Quiz #8a Key - Name Calculus II Math 152-11 Quiz#8 Form A...

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