- #1
Abraham
- 69
- 0
I've taken maths through calc 3.
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.
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.