This is ONLY 1 QUESTION related to MAT334, COMPLEX VARIABLES. Please don't submit typed answers as I cannot understand anything from it. ONLY AND ONLY HANDWRITING! Please! I would really appreciate it. Thank you so much in advance

Problem 1. (Analytic vs Co in R) 1. Let f(x) = 0 if x 0. (f : R- R). Show that f is n-times differentiable at 0 for all n and f() (0) = 0 for all n e N. 2. Show there is no series expansion around a for f when r is near the origin. 3. State a version of Taylor's Theorem you have seen in previous courses (mat 157, mat136, mat137). What hypothesis does it have? 4. What does this exercise say about analytic functions on R? How are analytic and Co (R) functions related