I have to find the Maclaurin series of:(adsbygoogle = window.adsbygoogle || []).push({});

(1) f(x)=cos(x)+x,

(2) g(x)= cos(x^2)+x^2

(3) h(x)=x*sin(2x).

I'm stuck at the first one, I kind of understand the concept of how P(0)=f(0)+f'(0)x+(f''(0)x^2)/2+. . .

What it gave me when I started calculating the value of the f^{n}was this:

f(0)=cos(0)+0=1

f'(0)=-sin(0)=0

f''(0)=-cos(0)=0

And the pattern kept repeating as follows: 1,0,-1,0,1,0,-1,0.

So when I want to write the mclaurin series, should it come out as?

P(x)=Ʃ(x^{2n}(-1)^{n})/n!

As for the other problems, I really don't know how to start

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# Homework Help: Finding the MacLaurin Series of a function

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