Look at the form of the remainder of the truncated Taylor series. This is anOriginally Posted byme > jallison + brownie

alternating series (the sign of consecutive terms is alternately + and -) of

decreasing terms so the absolute error is less than the absolute value first

ignored term. In this case the Taylor series is (as we are interested in

):

(note you have an error in your Taylor polynomial).

So in this case if we truncate after the second term the absolute error in the

approximation is less than:

RonL