\part{Sequences and series}


\chapter{Sequences}
- sequence
- monotone sequence
- subsequence
- convergent sequence

We may also prematurely use the $\lim$ notation to denote what a sequence converges to; its 'limit at infinity'. We formally define limits for a general function later.

- Cauchy sequence
- Bolzano-Weierstrass theorem (BWT)
- compact space
- complete space
- squeeze theorem
- limit supremum
- limit infimum
\chapter{Series}
- series
- absolutely convergent series
- conditionally convergent series
- harmonic series
- Euler-Mascheroni constant
- geometric series
- partial sum test
- comparison test
- limit comparison test
- ratio rest
- Leibniz test
- nth root test
- P test
- Cauchy condensation test
- integral test


