# Thread: Need help with Maclaurin Series problem

1. ## Need help with Maclaurin Series problem

How can i recognize the function?

If the first problem (a) is

f(x) = summation of x^(3n+2) startinng from n=0, what is the function then? I know that x^n is geometric series function, but im unable to conclude the function

2. ## Re: Need help with Maclaurin Series problem

I toyed with common series a bit and came up with

$\sum \limits_{k=0}^\infty ~(-1)^k x^{3k-1} = \dfrac{x^2}{1+x^3}$

Look at the common Maclaurin series templates.

You may have to use a power of $x$ rather than just $x$

You may have to adjust things by dividing or multiplying by $x$

Use Wolfram Alpha Series function to test out your hypotheses.

Series[f(x), {x, 0, n}]

will give you $n$ terms of the series of $f(x)$ about $x=0$