Find the first four nonzero terms of the MacLaurin series for (e^x -x -1)/x^2

Question

Find the first four nonzero terms of the MacLaurin series for (e^x  -x -1)/x^2

anonymous · Answer

The answer given is: 1/2! +x/3! +x^2/4! + x^3/5!+...

anonymous · Answer

If you look at the series the third term of the series is where that answer starts.

anonymous · Answer

So what's the question if you have the terms?

anonymous · Answer

its more on how do you get to the terms rather than the answer itself. I guess the question is what are the steps

anonymous · Answer

I'm assuming you have the MacLaurin series in front of you right?

anonymous · Answer

I just have the question itself. The terms I gave are from a separate sheet used for reference.

anonymous · Answer

attachment

anonymous · Answer

That's what it looks like.

anonymous · Answer

yeah i have that and the equation for e^x, sin x, and cos x

anonymous · Answer

All you have to do is take the derivative a few times and begin to plug it into the equation

anonymous · Answer

alright, thanks!

anonymous · Answer

you're welcome, if you run into a problem let me know and I'll see if I can help!