I have a really quick question about the alternating series remainder.
My teacher gave us this other "theorem" that went along the lines of "accurate to x decimal places" if the remainder was less than
If anyone can correct me on that, it would be greatly appreciated.
No, it doesn't help.
It's more like, if you want your answer to be accurate to x-decimals, then your remainder has to be less then 0.5x10^(-x).
Something a long those lines.
For the alternating series, not so important.
Say for Lagranges's Remainder. (The AST one was ok)
The actual question is:
So when using Lagrange's Remainder, I have to put that value in there.How many terms of the Maclaurin series for e^x are needed to approximate correct to 2 decimals?
The bad part is I lost my first notebook, which is when we did series... :S
I meant Lagrange's, not Taylor's for those who read it before the edit