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WZ
Numerade Educator

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Problem 42 Medium Difficulty

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

$ f(x) = \frac {x^2}{\sqrt {2 + x}} $

Answer

$\sum_{n=0}^{\infty} \frac{1}{\sqrt{2}}\left(\begin{array}{c}-\frac{\frac{1}{2}}{n}\end{array}\right) \cdot \frac{x^{n+2}}{2^{n}}$

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Video Transcript

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