Consider the power series Ean(z - 2+3i)2n. n=0 (a) If 0 < L< c is the radius of convergence of the given series, what is lim 1a? (Possibly in terms of L).
Consider the power series Ean(z - 2+3i)2n. n=0 (a) If 0 < L< c is the radius of convergence of the given series, what is lim 1a? (Possibly in terms of L).
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Transcribed Image Text:2.1 Consider the power series a,(z - 2+ 3i)2n.
n=0
(a) If0 < L < oc is the radius of convergence of the given series, what is lim a|?
(Possibly in terms of L).
Transcribed Image Text:(b) If the radius of convergence of the above series is L = 0, what conclusion can
be made about the convergence of the given series?
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