# Math Help - fifth degree maclaurin polynomial

1. ## 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

2. 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.

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

Careful on that error bound. All the terms are positive.

3. would this be it?

T5(x) = 1 + x + (x^2)/2 + (x^3)/6 + (x^4)/24 + (x^5)/120

4. then i plugged in .5 for x and gor 1.648697917...is this correct?

5. 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