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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
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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.
 Fall '08
 Wilson
 Calculus, Geometry

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