tag:blogger.com,1999:blog-7298230613782341134.post7849499365072523240..comments2014-03-20T19:57:36.572-07:00Comments on Classical Real Analysis: Having a hard time with proofsAnonymoushttp://www.blogger.com/profile/11914887130269977758noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-7298230613782341134.post-78775808062221964912013-02-09T07:27:28.930-08:002013-02-09T07:27:28.930-08:00A good one might be proving that the limit of the ...A good one might be proving that the limit of the sum of two sequences is the sum of the limits.<br /><br />Loosely it uses the idea that if A is close to a and B is close to b then A+B is close to a+b. But that is called "hand waving" -- it is not mathematics. If you master the epsilon type proof and understand it you will be a long way towards getting the course. Memorize it and then teach in detail to anyone who is willing to listen. Become the class expert on this theorem! <br /><br />Don't be discouraged that this doesn't come easily. The limit theorems are quite subtle and usually do take some time to absorb. Good luck...BrianAnonymoushttps://www.blogger.com/profile/11914887130269977758noreply@blogger.comtag:blogger.com,1999:blog-7298230613782341134.post-68135851146543254712013-02-08T23:52:23.633-08:002013-02-08T23:52:23.633-08:00Hello there. I really like your suggestion. I am c...Hello there. I really like your suggestion. I am currently taking Real analysis class but I am having trouble understanding it. Now we are studying Sequences, just before Limit theorems. What theorem would you recommend me to memorize? Anonymousnoreply@blogger.com