MAT320/640 LECTURE 21 (11/17/2021): TAYLOR SERIES
• Announcements: Please note that there have been small changes in the schedule: the exercise session was moved from today to next week and will be held live online via Zoom, similarly to previous live classes. Moreover, we will skip the section on L'Hospital's rule and move directly to Taylor Series today.
• Video 1: Taylor series and its remainder. Download file or watch below
• Video 2: Taylor's Theorem. Download file or watch below
• Video 3: Sufficient condition for function to agree with its Taylor Series, and some examples. Download file or watch below
• Video 4: A function that does not agree with its Taylor Series in any neighborhood of $x_0$. Download file or watch below