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Please answer the following question and solve without utilizing the Ratio Test. Thank you! Project #2: Some Sums Student name: Over the next few weeks,

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Please answer the following question and solve without utilizing the Ratio Test. Thank you!

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Project #2: Some Sums Student name: Over the next few weeks, we will learn a number of reliable techniques for deter- mining whether an infinite series converges or diverges. However, determining the sum of said infinite series is typically much trickier (if we can even do it at all). For example, Euler proved that 1 712 Ea=?' 11:] but we still don't know if there is a nice formula for E 1 . 3- n=1 n We will learn some techniqUes later in this course which will allow us to evaluate certain infinite series by relating them to special functions. For example, we'll be able to prove results like i. 1 \"I: n! rid lsposal are the formula for an infinite geo- i ar\" = a , \":0 1 r and recognizing the series as a telescoping series. In this project, you'll need to make clever use of the formulas we do know in order to evaluate the sum of two convergent series which are neither telescoping nor geometric. Until then, the only techniques ato metric series with |r|

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