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Lagrange Error Bound to Find Error when using Taylor Polynomials

Patrick J 180,457 8 years ago
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! In this video, I show how to use the Lagrange Error Bound to find the value of sin(0.1) using a third degree Taylor Polynomial. The theorem all looks a bit complicated but really it just boils down to taking some derivatives and then trying to maximize that function over a given interval. The rest of it is 'plug and chug'!

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