Thread: MacLaurin polynomial

Let .
Find the MacLaurin polynomial of degree 5 for .

Use this polynomial to estimate the value of .

I don't understand this. For the MacLaurin polynomial do I take derivative until the 5th derivative?

Originally Posted by superman69

Let .
Find the MacLaurin polynomial of degree 5 for .

Use this polynomial to estimate the value of .

I don't understand this. For the MacLaurin polynomial do I take derivative until the 5th derivative?

approximate

Originally Posted by superman69

Let .
Find the MacLaurin polynomial of degree 5 for .

Use this polynomial to estimate the value of .

I don't understand this. For the MacLaurin polynomial do I take derivative until the 5th derivative?

Yup.







So the polynomial of degree 2 is .

Just keep going til you hit 5; then plug in 0.16.

yeah okay i got that part how do i do the first part Find the MacLaurin polynomial of degree 5 for F(x) I spended about 45 mins on that and still couldn't find the correct answer

But this is what I got so far.

Originally Posted by superman69

But this is what I got so far.

Should be

Then integrate to find the series for , just like Skeeter said. Note that you only need the first two terms of this sequence, since all the rest have .