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, 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 but we still don't know if there is a nice formula for i 1 3. n=1 1\"! 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 1 00 :e. \"2111! Until then, the only techniques at our disposal are the formula for an infinite geo metric series with |r| 2;- k:1