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Midterm 3 PExam Key

# Midterm 3 PExam Key - Math 1272 30"PRACTICE MIDTERM EXAM 3...

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Math 1272 - 30 "PRACTICE" MIDTERM EXAM 3 11 April 2011 1.) Determine whether the series below are convergent or divergent. If convergent, find its sum. Justify your answer and state the test used. , 2 2n s - n a.) ~ ~ = f <f '" 5 - en -i) ~ 'f ( {1" I (9 points) "f\ '"L t PI =1 ,/ ,r-- ± L 1 ~l u-~-~ 1'.-( J-~ 7 a.~ . T ) '~) L ,/ J lQ "ylQ( _ ~ , J-,' , Q tf- '+ - ---=--- - - - ~OJ S - l - ..,- I -~ s f b.) (8 points) =- ~ ar_ ~~~ (~) '14 I - [ );. ~ 6# Ted W D,JJ~!jc'1ce 0 + 1 2.) Determine whether the series below converge or diverge. Show work and state test used. a.) (8 points)

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b.) Page 2 of 5 (8 points) t ., (8 points) oJJ ~ t.- ; f-j'~""'kll P ~ i ~ i O ~ JJ~~1 ~ ~
Page 3 of 5 ~oo n! e.) . (8 ·points) Lm=l n2 e . ----- --' f.) ~oo 1 Lm=l IF nvmn (8 points) o

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-- Page 4 of 5 3.) Find the radius of convergence,
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Midterm 3 PExam Key - Math 1272 30"PRACTICE MIDTERM EXAM 3...

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