I have a math exam tomorrow and I have done all homeworks and have reviewed heavily, but I have to admit that I am still confused.
What I know: a sequence is the complete set of terms, for example {1,1/2,1/4,1/8,1/16}, whereas a sequence is a summation of the partial sums. In this case, you would add up the partial sums. However, can a sequence converge to a non-zero number?
I understand the different tests for calculating convergence, and can do improper integrals and the like, I just want a very in-depth understanding. Thanks much.