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Problem 40 Medium Difficulty

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

$ f(x) = x^2 \ln (1 + x^3) $

Answer

$\sum_{n=1}^{\infty}(-1)^{n-1} \frac{x^{3 n+2}}{n}, \quad R=1$

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Video Transcript

okay. Used MacLaurin series in Table once obtained. McClary serious, well given function. All right, so f of X equals two at squared times. The experience lawn that one because it's cute, which is equal to so and from one to infinity. X cube over. That's cute, outstrip our three. And so it's excuse to power in Over and tons That's one two powerful in months. One. Yeah, and which is equal to so ends from once you infinity and executed power three in plus two over in terms that you want to call them once one you.

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