In this lesson I present several new topics connected with function limits – one-sided limits, cases where a function limit does not exist at all, and finally the notion of function continuity itself.

I’ll show what to do when a function has no limit at all. You’ll see that continuity problems are usually the easiest limit problems – and why that is so.

Table of Contents

• introduction to one-sided limits of functions – 3 examples [01:37]
• one-sided limits (including an example with absolute value) – 3 examples [12:47]
• one-sided limits (with exponential functions) – 3 examples [19:47]
• limit as x approaches minus infinity – example [25:04]
• more difficult one-sided limits – 2 examples [30:04]
• introduction to continuity of a function – 2 one-sided limits [36:37]
• condition for continuity of a function at a point [39:39]
• continuity of a function at a point – example 1 [43:14]
• continuity of a function at a point – example 2 [46:09]
• continuity of a function at a point – example 3 [48:22]
• continuity of a function at a point – example 4 [53:11]
• continuity with a parameter – problem 1 [56:00]
• continuity with a parameter – problem 2 [58:38]