an where an = (-1)"+2 In( 1 + Consider the series n=1 Is the series (eventually) alternating? Yes v Are the terms of the series (eventually) nonincreasing in magnitude? No What is the limit of the terms of the series? lim an = n00 Based on your answers above, can the alternating series test be applied to the series? Yes v Using the alternating series test or other tests, does the series converge or diverge? Converges
an where an = (-1)"+2 In( 1 + Consider the series n=1 Is the series (eventually) alternating? Yes v Are the terms of the series (eventually) nonincreasing in magnitude? No What is the limit of the terms of the series? lim an = n00 Based on your answers above, can the alternating series test be applied to the series? Yes v Using the alternating series test or other tests, does the series converge or diverge? Converges
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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