This lecture is part of an online course on category theory.
We define limits and colimits of functors, and show how various constructions (products, kernels, inverse limits, and so on) are special cases of this. We also describe how adoint functors preserve limits or colimits.
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj51F9XZ_Ka4bLnQoxTdMx0AL