Real Analysis I need a detailed, rigorous proof for the following and I may not use the comparison test. I need to prove this series convergent using other properties of convergent series, if Sn the sequence of partial sums is increasing and bounded then Sn is convergent and therefore the Series is convergent. Below is the Series that I must prove convergent. Prove that 1+1/2! + 1/4! + 1/6! + . . . converges. I am thinking that this will become 1/(2n-2)! Perhaps use the principle of mathematical induction? Thank you

Real Analysis I need a detailed, rigorous proof for the following and I may not use the comparison test. I need to prove this series convergent using other properties of convergent series, if Sn the sequence of partial sums is increasing and bounded then Sn is convergent and therefore the Series is convergent. Below is the Series that I must prove convergent. Prove that 1+1/2! + 1/4! + 1/6! + . . . converges. I am thinking that this will become 1/(2n-2)! Perhaps use the principle of mathematical induction? Thank you

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 11TI: Determine whether the sum of the infinite series is defined. k=115(0.3)k

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