4) Give an properties: an exa example, if possible, of power series with the following a) centered at Zo=3i, with radius of convergence R = 7 b) centered at Zo=1 and convergent for all z with Im 7 ≤ 4, but divergent for all z with Im Z >4 c) centered at Zo=0 and convergent for all z with Rez= 8, but divergent for all other ZEC. *
4) Give an properties: an exa example, if possible, of power series with the following a) centered at Zo=3i, with radius of convergence R = 7 b) centered at Zo=1 and convergent for all z with Im 7 ≤ 4, but divergent for all z with Im Z >4 c) centered at Zo=0 and convergent for all z with Rez= 8, but divergent for all other ZEC. *
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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Hi I need help with 4a) and c)
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