Problem 1. Consider the function f(33) = sin(:z:2), V1: 6 R. (i) (2 points) For the following two sequences 1 xn=v2mn y\": (2n+)7r, VnEN, compute f(9:n) and y\") for each n E N. (ii) (3 points) Use the \"e N\" argument to show that linnn_,c,0(g,rn :17\") = 0. Hint. For any a,b > 0, we have x/a+b\\/E=b/(\\/a+b+\\/E). (iii) (3 points) Is the function f uniformly continuous? Whether you answer is yes or no, please give a proof