i know that so then
Does that equal or is it something else entirely? When I put it in my calculator I get something else entirely but someone else told me that it works??
Ok, first notice that
So
Now notice that a power series is uniformly convergent, thus integrable on its interval of convergence so
Now input the appropriate values and note that if and that
Or in other words the error is less than or equal to the first neglected term. So lets say your error is , then you need to find such that and that will be the correct number of terms. But remember that since if you calcluate the correct to be lets say you really want .