You have been watching Prof. Gromov's youTube video solution for the convergence of the infinite series an , n=0 where n n an = n+4 (a) In the first part of the video, Prof. Gromov considers the sequence _ an" al and its limit. Write down the expression for the sequence 1 an = n^n/(n+4)^n Syntax advice: Enter the expression using Maple syntax. For example, type (n/ (n+4) ) ^ (n^2) for n2 n n+4 Next, compute the limit 1 lim an = n-+0O n (Hint: You may use that lim 1 + = ex for every real number x .) n-+00 n(b) As the video goes on, Prof. Gromov states that for a number M > 0 and for all n > M, an