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math1b - quiz 8 - solns

math1b - quiz 8 - solns - Math 13 Quiz 8 G'9“ Question 1...

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Unformatted text preview: Math 13 Quiz 8 G '9“ . Question 1 _ _ . / Consider the following power series: 1“ (-1)”($ .- 5)” _ Z 2nn2 1. This power series is centered at which point? _2. Find the radius of convergence. ‘ ' _(..,_)"’,*' 565")?“ “LIZI'ArI 1&1" K . ' TURN PAGE!!! MathIBrQujze — -' ‘ I 2 Question 2 / 1'. Find the Taylor series centered at O fer y 2' 8“”. Express your answer in IZ—IILot'ation. (D . ._ . _ be _ ..- kxk-_ ’ [a u be . '. ;':_E " 00 k we _ Z é1:9- kzo 2. Find the Taylor series centered at O for fix) = him. 7 Express your'answer' in E}— notation. 7 _ r_x_ i‘ x“ “6 it .' _- ‘ {_ iv a _:' l” 100:6)? ' 60k {5%. '- 7- i!)— I 1‘5" '- = 3c“! Q Li Fifi ' I x K f 3! Use yonr answer from the previous part to find a Series that converges to the value of folx 1 :8 dac Express yon]: answer. usiIig Z—notation *8 ”(x __ 00“ L-r X “f x ‘ “Z6" 7;: " a 'cié‘= I . ' ‘, _£i-KX.MI.';;..;.: -\4-‘- 7's.*-'- £1.51.“ '- #1": ...
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