Lesson Tag: granicel8

Lesson 8 – One-sided limits of functions. Continuity of functions.

Length: 63 minutesAuthor: Krystian KarczyńskiComplexity: Standard

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.<br><br> 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. <br><br> <h3>Table of Contents</h3> <ul> <li>introduction to one-sided limits of functions – 3 examples [01:37]</li> <li>one-sided limits (including an example with absolute value) – 3 examples [12:47]</li> <li>one-sided limits (with exponential functions) – 3 examples [19:47]</li> <li>limit as x approaches minus infinity – example [25:04]</li> <li>more difficult one-sided limits – 2 examples [30:04]</li> <li>introduction to continuity of a function – 2 one-sided limits [36:37]</li> <li>condition for continuity of a function at a point [39:39]</li> <li>continuity of a function at a point – example 1 [43:14]</li> <li>continuity of a function at a point – example 2 [46:09]</li> <li>continuity of a function at a point – example 3 [48:22]</li> <li>continuity of a function at a point – example 4 [53:11]</li> <li>continuity with a parameter – problem 1 [56:00]</li> <li>continuity with a parameter – problem 2 [58:38]</li> </ul>