Recent content by ZCohen

So this leads me to ask, is a limit the only method of determining convergence of a sequence? And if so, why do some books (in my experience) ask first if a sequence is convergent then ask for the evaluation of the limit?

I have had some introduction to set theory and have gone through calculus in a theoretical manner up through first and second order differential equations. However, we are now working on sequences (and series, but I find series to be less of a problem). There doesn't seem to be an easy way to go...