EDB — 2D2

16.2 Taylor polynomial[2D2]

In the following for simplicity we consider only the case in which $\underset{x\to a}{lim}g(x)=0$; moreover in Taylor’s expansion we always have that $g(x)=(x-a{)}^n$ with $n\ge 1$ integer. ¹

Let’s see two examples. Let $a=0$ for simplicity.

E37

[1FG]↺↻

E37

[1FJ]↺↻

E37

[1FM]↺↻

E37

[1FP]↺↻

E37

[1FR]↺↻

E37

[1FT]↺↻

See also exercise [1BR]↺↻.