B U Department of Mathematics
Fall 2005 Math 331 - Real Analysis I, Final Exam, 5/1/2006, 15:00-17:30
Whatever theorem, proposition, lemma, exercise, example you use, you must EXACTLY STATE it (its hypothesis and its conclusion). Besides, either it MUST h
B U Department of Mathematics
Fall 2005 Math 331 - Real Analysis I, Second Midterm, 21/12/2005 1. (1) What does uniform convergence of a series of functions
The uniform convergence of the sequence of its partial sums.
n=1 n=1
fn (x) mean?
2. (1) Why do p
Fall 2005 Math 331 - Real Analysis First Midterm, 16/11/2005 1. Let x be a point in an arbitrary metric space (M, d): (a) Show that if d is the discrete metric, then the subset cfw_x is both open and closed.
Solution: Let A M . If A = or M then A is both