What is Taylor's Inequality in really really simple terms?

Can someone explain "Taylor's Inequality" in entirely nonmathmatical terms?
I know its kinda weird request but i am so easily confused with this stuff.

Thanks alot!

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Originally Posted by adam21

Can someone explain "Taylor's Inequality" in entirely nonmathmatical terms?
I know its kinda weird request but i am so easily confused with this stuff.

Thanks alot!

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Well, i don't know the proof of the inequality itself, so i really can't explain in much detail. i can tell you however, that it is used to find the error in the taylor series approximation of a function.

see Taylor.pdf to see it in action. start from page 3

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Originally Posted by Jhevon

Well, i don't know the proof of the inequality itself,

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Uses the mean value theorem iirc.

RonL