I need to Evaluate at X=.3 and .5 with precision of n=8 and I need to find the maximum error. I am very lost. Thank you.

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- November 23rd 2008, 07:49 PMzifnibMaclauren series Polynominal
I need to Evaluate at X=.3 and .5 with precision of n=8 and I need to find the maximum error. I am very lost. Thank you.

- November 23rd 2008, 08:12 PMzifnib
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?? - November 24th 2008, 03:27 AMMathstud28
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 .