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10.12 Lagrange Error Bound

1 min readβ€’june 7, 2020

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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
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