>>11110217Just learn the following:
Definition of series convergence
Geometric series
Standard comparison test (i.e. if all a_k are less than b_k in the tail then...)
Above also has corollary that if |a_k/b_k| in the limit goes to neither zero nor infinity, the series are convergent iff with each other.
Also learn how to bound series using integrals
Learning when some really common series converge is also useful, e.g. sum of k^a converges only for a<-1.
Ratio test
Root test
Leibniz Criterion
For function series you want to know stuff like Weierstrass M-test is for determining uniform convergence, and of course standard definition of point-wise vs. uniform convergence, and some results about termwise integration and differentiation, and some other results (A lot of these theorems rely on uniform convergence).
