Write an approximation equation for F(x)

Yes i am told to write [an] equation for it and i don't know where to start.
Okay, let's start by ensuring that you understand what it is.

F(x) is defined as a polynomial with infinite terms (i.e., an infinite summation of terms that look like ai*x^i). They want you to write an approximation for F(x) by using only the first four terms in the summation.

Let the index run from 0 through 3, and write the addition of those four terms.
 
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