Join Our Discord

Learn Moreย ย ๐Ÿ‘‡

caret down
caret up
discord-logo

Join our Discord

1,000s of Fiveable Community students are already finding study help, meeting new friends, and sharing tons of opportunities among other students around the world! Don't miss out!ย  ๐ŸŽ‰

group of students
group of students

โ™พ๏ธย ap calc

ย ย >ย ย 

โ™พย Unit 10

ย ย โ€ขย ย โฑ๏ธ1 min read

10.12 Lagrange Error Bound

Peter Cao

peter cao

โฑ๏ธ June 8, 2020

๐Ÿ“…โŒจ๏ธ

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

A tent in the woods with a fire

Get your ap calc survival pack!

Download our ap calc survival pack and get access to every resource you need to get a 5.

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)

continue learning

Slide 1 of 17
Fiveable

Join Our Discord

discord-logo

Fiveable Community students are already meeting new friends, starting study groups, and sharing tons of opportunities for other high schoolers. Soon the Fiveable Community will be on a totally new platform where you can share, save, and organize your learning links and lead study groups among other students!๐ŸŽ‰

*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 2021 | all rights reserved.

2550 north lake drive
suite 2
milwaukee, wi 53211