題組內容
3.(20%) Let $f(x) = x^2 \ln(1 + x)$. Compute $f^{(x)}(0)$, the $n^{th}$ derivative of $f$ evaluated at $x = 0$, by the following steps.
(a) Find the power series for \( f(x) \). (10%)
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3.(20%) Let $f(x) = x^2 \ln(1 + x)$. Compute $f^{(x)}(0)$, the $n^{th}$ derivative of $f$ evaluated at $x = 0$, by the following steps.
(a) Find the power series for \( f(x) \). (10%)