Recall that the radius of convergence R of a power series with coefficients a, is found by first computing an+1 L = lim an and then computing 1 R = L' subject to the convention that if L = 0, then R = oo and if L = 00, then R = 0. Consider the two power series and (-1) *- 2)" [(-1)» E – n=1 (1) Compute the radius of convergence of each series.
Recall that the radius of convergence R of a power series with coefficients a, is found by first computing an+1 L = lim an and then computing 1 R = L' subject to the convention that if L = 0, then R = oo and if L = 00, then R = 0. Consider the two power series and (-1) *- 2)" [(-1)» E – n=1 (1) Compute the radius of convergence of each series.
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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