# Taylor polynomial/1 over x/a is 2/Degree 4/Exercise

${\displaystyle {}f(x)={\frac {1}{x}}\,}$
at point ${\displaystyle {}a=2}$
up to order ${\displaystyle {}4}$ (Give also the Taylor polynomial of degree ${\displaystyle {}4}$ at point ${\displaystyle {}2}$, where the coefficients must be stated in the most simple form).