11. Consider the series Σ (-1)"-1 n2n n>1 (a) Show that the three conditions given in the alternating series theorem are satisfied in this case, and then use the theorem to show that this series is convergent. (b) By calculating sufficiently many terms in the sum so that the error is small enough, estimate this sum correct to two decimal places.

11. Consider the series Σ (-1)"-1 n2n n>1 (a) Show that the three conditions given in the alternating series theorem are satisfied in this case, and then use the theorem to show that this series is convergent. (b) By calculating sufficiently many terms in the sum so that the error is small enough, estimate this sum correct to two decimal places.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

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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