But I don't know if this is right, or what my nth term would be, much less the power series...Thanks!!
Binomial series are given by:
for any and if . Here, and .
So:
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Let's look at the general term:
Just looking at the expanded series, we see that with even , the coefficient is positive and with odd , the coefficient is negative.
So, if we factor out the negative signs:
etc.