Фоменко Т. Н. - Математический анализ. Часть 1 - 9. Критерий Коши. Предел функции

This lecture covers fundamental sequences, the Cauchy convergence criterion, functions of a single real variable, and the concept of a function limit. At 00:00:10 the lecture begins with fundamental sequences; at 00:19:33 the Cauchy convergence criterion is discussed; at 00:37:50 functions of a single real variable are introduced; at 00:45:37 the concept of a function limit is explained; at 00:53:58 the equivalence of the Cauchy and Heine definitions of function limits is examined; at 01:05:35 one‑sided limits are covered.