AP Calc Crash Course for Spring 2021 โ™พ๏ธ

Get unit reviews, practice essays, and live support!

ap calc study guides

๐Ÿ‘‘ย  Unit 1: Limits & Continuity

๐Ÿถย  Unit 8: Applications of Integration

โ™พย  Unit 10: Infinite Sequences and Series (BC Only)

10.12 Lagrange Error Bound

#errorbound

#error

#lagrange

โฑ๏ธย ย 1 min read

written by

Peter Cao

peter cao


https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(565).png?alt=media&token=e73e405a-abce-40b3-8d0b-6b825d0534c6

Sometimes, we want to find out how accurate a Taylor polynomial prediction is to the actual function value at a given x. This is where the Lagrange error bound comes into play.

What is the Lagrange Error Bound and how do we find it?

When we have the Lagrange Error Bound below, notice how similar it is to the alternating series error bound from earlier!

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(795).png?alt=media&token=69b77a84-5a32-4573-8046-1b28ce13614a

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(796).png?alt=media&token=29108ee8-31dc-4530-9ae9-f7cdc0c2c93c

Problems

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(798).png?alt=media&token=654132da-3f21-4b1a-a637-852cda54a0d3

continue learning

Slide 1 of 17
Fiveable Logo

2550 north lake drive
suite 2
milwaukee, wi 53211

92% of Fiveable students earned a 3 or higher on their 2020 AP Exams.

*apยฎ and advanced placementยฎ are registered trademarks of the college board, which was not involved in the production of, and does not endorse, this product.

ยฉ fiveable 2020 | all rights reserved.