Worked example: estimating e_ using Lagrange error bound | AP Calculus BC | Khan Academy

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Lagrange error bound (also called Taylor remainder theorem) can help us determine the degree of Taylor/Maclaurin polynomial to use to approximate a function to a given error bound. See how it's done when approximating e_ at x=1.45.

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Комментарии
Автор

Math: approximate an irrational number, and use an irrational number to do so
Me: but how do you use that irrational number?
Math: A calculator
Me: Then why not just plug in the one you want to approximate?

elimarburger
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you're amazing such an inspiration :)

Hobbit
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At 2:13, why did you take e^2 instead of e^1.46 or anything lesser and closer to 1.45? What is stopping me from taking it as say, 98, 719 or infinite?
Seems too random for math.

bronzejourney
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Now hold on there a quick second. 2:16 why not use 1.45<=x<=2 ?

chessandmathguy