Essentially what the title says. I'm asked to find the Taylor polynomial of degree $n$ for $f(x)=\sinh^2(x)$ about $a=0$.
This is essentially a Maclaurin series.
I could use the fact that I know what the Maclaurin series of $\sinh(x)$ which is $\sum_{n=0}^{\infty} \frac{x^{2n+1}}{(2n+1)!}$ and then I could expand term by term.
Is there a better way of doing this though?