What are the first 3 non-null terms of the following Maclaurin series?
$$f(x) = (4+x^2)^\frac52$$
Note that $f(x) = 32(1+x^2/4)^{5/2}$. Now use the generalized binomial theorem, $$(1+x)^s = 1 + sx + \frac{s(s-1)}{2}x^2 +\ldots.$$
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Note that $f(x) = 32(1+x^2/4)^{5/2}$. Now use the generalized binomial theorem, $$(1+x)^s = 1 + sx + \frac{s(s-1)}{2}x^2 +\ldots.$$