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Use a Maclaurin series in Table 1 to obtain the Maclaurin series for the given function.

$$ f(x) = x \cos 2 x $$

$=\sum_{n=0}^{\infty} \frac{2^{2 n} x^{2 n+1} \cdot(-1)^{n}}{(2 n) !}$

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Campbell University

Oregon State University

Harvey Mudd College

Boston College

using the glorious years and table. Want to pretend that I'm serious? Okay. Showing us first you see off Michael groceries for two thousand. Next, which is because to one month have X squared plus x two four Book for Torrente pictorial minus extra six over six. Victoria. And so are so we're gonna put in this from there into here. I'm gonna get one witness, two x square over tutorial plus to ask to the core core. Booked her view, and this is equals to a signal. So case from zero to very and to cave tutorial two x to the power of two K times neck one to the horror of it. Okay, So in case you're oh, Touquet is just your and your terrorist one and we could take the first field terms. And if Keiko's one this is two extra Teo Teo twelve square over factorial times that one yet that's cracked, and we can actually insert acts in it. So the final result is gonna be too too too too Okay. Extruded to keep us one. Tom's not if you want to Pork. Okay. Over to King Pictorial.

University of Illinois at Urbana-Champaign