$cos(x)={\displaystyle \underset{i=0}{\overset{}{}}}\frac{(-1{)}^i}{(2i)!}{x}^{2i}=1-\frac{x^2}{2}+\frac{x^4}{4!}-\frac{x^6}{6!}+\frac{x^8}{8!}-$cdots

Add one term at a time to estimate $cos(x)$ for $x=1\mathrm{.}5,$ correct to $3$ significant figures accuracy. Retain $6$ decimal

places in your calculations. Present your results in a tabular form as shown below in the template $($first two

iterations filled out$).$ Add as many rows as needed to reach stopping condition of $3$ sig fig accuracy.

Note: The $e_a$ calculation in the first iteration cannot be done as at this point there is no previous approximation.

Hence, it should be left blank or filled with N$/$A$.$