I've taken maths through calc 3.(adsbygoogle = window.adsbygoogle || []).push({});

I understand the Maclaurin series represents a function f(x) as a power series: [tex]\sum(c_{n}x^{n})[/tex]

But how the heck did Maclaurin figure out that the series [tex]\sum(c_{n}x^{n})[/tex] could represent f(x)? I mean, that's clearly not obvious from inspection. I want to know how someone made this discovery.

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# What's the Reasoning behind the Maclaurin Series? How did Maclaurin discover it?

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