222-dickey-07faex02

# 222-dickey-07faex02 - MATH 222, Lec. 3, EXAM #2 YOUR NAME...

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Unformatted text preview: MATH 222, Lec. 3, EXAM #2 YOUR NAME T.A.‘s NAME Show all your work. No calculators or references. l é l 1.(2o points) , g 2.(2o pointslw 7 E % 3.(2o points) l l g 4,(2o points) ,¥ , ‘ 5.(2o points) l l l l E Total ! f l . 1 a l l 1. Determine which of the following sequences an} converge or diverge. if the sequence converges ﬁnd the limit. (a) an = ln(4 + e”) (b) an : (1 + 3/n)2/n 2n 2. Decide whether the following series converge or diverge. V Justi our answer. was we (a) (b) En2+1 n=2n(lnn)3 n=1n4+1 Decide whether the following series are absoluter convergent, conditional! conver ent, or diver ent. Justi our answer. m, y 9 9 i V W V (a) M (b) (4)“ “3 n=14n~1 n=0 3n Find the radius of eggvergence and intervai of convergence for the series < d (-31ngx - 1)" m n=0 3/n+1 (x 5. Find a Taylor series expansion about x = O for the function f(x) = ln(1 + x2). What is the interval of convergence? ...
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## This note was uploaded on 08/08/2008 for the course MATH 222 taught by Professor Wilson during the Fall '08 term at Wisconsin.

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222-dickey-07faex02 - MATH 222, Lec. 3, EXAM #2 YOUR NAME...

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