I was hoping to have someone check my work so far on a series of problems. I have attached them as images below, and typed them in tex. Thanks so much!

1. Determine if the following series is convergent or divergent: \\sin (n . ) First, note that sin(n7) = 0 for n E Z based off of Euler's formula. n = 3 n Sin (NTT) . 1 n =3 n n=3 (1) n=3 = 0 Because the infinite sum evaluates to 0, it is convergent. 22. Find the values of x for which L = lim anti an 1) 0