Recent content by ask_questions

Homework Statement Show that it is possible to cut any convex polygon into 4 pieces of equal areas by using two cuts perpendicular to each other. Homework Equations None, it's just a proof I found on the back of my book. The relevant chapter is Continuity, the maximum principle, and...

Hi guys: Thank you so much! Here's the problem as it was typed on the book: Construct a sequence such that every real number is its limit point. I know this is different from the question I typed above, but my reasoning is that if i can have a sequence that contains all rational numbers, then...

thanks! can you elaborate a little bit? I'm trying to self-study real analysis, and I'm not really familiar with what you just mentioned... how would i put them in an array and find a "path"? thanks!

Homework Statement Construct a sequence that has all rational numbers in it Homework Equations None. The Attempt at a Solution Here are my thoughts, though I have no solutions yet. If I construct a sequence Sn= n*sin(n)-1/n, will it work? Thanks guys!