correct the cubic term ...
since the series is alternating, the error will be less than the first omitted term ...
Find an approximated value for using a Taylors polynomial of third degree and estimate the error.
I thought of solving it by using
centered at
So
Then I evaluated it at x=9.03, so I get:
I don't know if this is right, I've tried with the calculator and it gives 3.00500.... Now, how do I estimate the error? just by resting to the value the calculator gives the one I get?
Thanks. Skeeter, how did you get the expression?
I think you're using the expression for the residual, that looks quiet similar to the expressions of the terms for the Taylors polynomial.
The thing is that the reminder is:
where is such
mmm I think I'm getting it, so ?
And then thats why the error is smaller than the expression for the reminder. Right? thank you very much Skeeter.