- #1
wizkhal
- 6
- 0
Hello all,
Recently I've found something very interesting concerning Taylor series.
It's a graphical representation of a second order error bound of the series.
Here is the link: http://www.karlscalculus.org/l8_4-1.html
My question is: is it possible to represent higher order error bounds in a similar way?
For example: third order error term would have "3! = 6" in a denominator...
I know that Taylor series is based on Mean Value Theorem and I know the proof of it.
However it would become much clearer if it was possible to represent error bounds in a graphical way.
Have a nice weekend.
Recently I've found something very interesting concerning Taylor series.
It's a graphical representation of a second order error bound of the series.
Here is the link: http://www.karlscalculus.org/l8_4-1.html
My question is: is it possible to represent higher order error bounds in a similar way?
For example: third order error term would have "3! = 6" in a denominator...
I know that Taylor series is based on Mean Value Theorem and I know the proof of it.
However it would become much clearer if it was possible to represent error bounds in a graphical way.
Have a nice weekend.
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