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Unit 10

10.12 Lagrange Error Bound

1 min readโ€ขjune 8, 2020

peter-cao

Peter Cao


AP Calculus AB/BCย โ™พ๏ธ

Bookmarkedย 7.1kย โ€ขย 259ย resources
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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

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