Remainder Formulas for Taylor Series

This is a video of the proof of two forms of the remainder formula for Taylor series. If you're not interested in how the proof goes you can view this as an exercise in integration by parts.

It also includes a proof of a result called the Integral mean Value Theorem.

The sound is a little odd, as I accidentally plugged the microphone into the headphone jack. I am amazed it worked at all.

Speaking of mistakes, you will see me making several errors, then catching them and sighing. Note to self: work from prewritten notes (instead of relying on memory) when videorecording a lecture like this.

(WARNING: Requires a Flash-enabled browser. Some Apple equipment does not handle this well.)

THIS VIDEO IS FOR THE US OF OUR CLASS ONLY. PLEASE DO NOT CIRCULATE OUTSIDE OF THE CLASS.

click here for the video