Arizona State University School of Mathematical and Statis 8. (40 points) (10 pts each) Suppose that E = (1/vn : ne N} U {}, in particular E is the set of values of a convergent sequence together with the limit of that sequence Prove, disprove or sketch arguments pro- and con- the following assertions. Be sure to include the definitions and theorems you need to use. A) E is bounded. B) E is closed. C) The set of all boundary points of E is E. D) E is dense in [0, 1]