fifth degree maclaurin polynomial

• Apr 21st 2010, 01:50 PM
andrewt328
fifth degree maclaurin polynomial
Use the fifth degree maclaurin polynomial for e^x to approximate sqrt(e).

1. find T5(x)
2. give the approximate value for sqrt(e) using T5
3. find the error bound for this approximate
4. find the difference between sqrt(e) and the maclaurin polynomial approximate...

thanks...any help is appreciated
• Apr 21st 2010, 02:44 PM
TKHunny
Please show the 5th degree polynomial. You simply must be able to do that or there is no point doing the rest. It is the easiest possible non-zero series, since all the derivatives are the same.

$\displaystyle \sqrt{e} = e^\frac{1}{2}$

Careful on that error bound. All the terms are positive.
• Apr 21st 2010, 05:07 PM
andrewt328
would this be it?

T5(x) = 1 + x + (x^2)/2 + (x^3)/6 + (x^4)/24 + (x^5)/120
• Apr 21st 2010, 05:14 PM
andrewt328
then i plugged in .5 for x and gor 1.648697917...is this correct?
• Apr 21st 2010, 10:43 PM
CaptainBlack
Quote:

Originally Posted by andrewt328
then i plugged in .5 for x and gor 1.648697917...is this correct?

I don't want to sound flippant, but do you own a calculator?

CB