I'm supposed to write the first four taylor series expansions of $f(x=0)$ using: one term, two terms, three terms, four terms
This is the function: $$f(x) = x^3 - 2x^2 + 2x - 3$$
Should I be using MacLaurin series since I'm supposed to be using $f(x=0)$?
Then, I'm supposed to give an estimation for the 4 Taylor Series expansion for $Δx=0.5$
In this case, should I be working with Taylor Series, not MacLaurin this time? And the $Δx=0.5$ would used in the $(x-c)$ parts.