Recent content by merlan

Yes, I've completed calculus, differential equations, linear algebra, a stat class and so on. I understand unions, intersections, intervals, functions, what natural numbers are, what sets are, however I was confused by indexed families of sets. This is why I came here, if I wasn't confused on...

I'm sorry if I have made you upset. I'm positive I am not explaining my thoughts correctly and I am also positive that I am confused on this topic, which is why I'm seeking help. My B_1 is the same as yours, as is my B_2. I used the same process you did to get those. If my understading is...

I started with n=1 which produced the interval (0,1], then I did n=2 and then n=3. For the union I took the smallest x and the largest y, which yielded (0,1] and for the intersection I took the largest x and the smallest y and saw that we would never reach the smallest so no intersection. I...

Let B_n = (0, \frac {1}{n} ] for all n \in N (N = set of natural numbers) a) For each n \in N, find \bigcap _{k=1}^n B_k and \bigcup _{k=1}^n B_k b) Find \bigcap _{n=1}^ \infty B_n and \bigcup _{n=1}^ \infty B_n For a) I have B_1 = (0,1] \\ B_2 = (0, \frac {1}{2} ] \\ B_3 =...