Suppose that we have the Taylor series centered at $x=0$ (Maclaurin series) defined below. $$f(x) = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^{n} \frac{x^{2n}}{(2n)!}+ \cdots$$

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What is $f^{(9)}(0)$?
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What is $f^{(8)}(0)$?
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