The quantity e$5$ may be determined using the following two different formulas

Formula $1$:e$$ x$=1$x $+$ x$2$

$2!$ x$3$

$3!+...$

Formula $2$:e$$ x$=1$

ex $=1$

$1+$ x $+$ x$2$

$2!+$ x$3$

$3!+...$

a$)$ Write a fully commented computer code to evaluate formulas $1$ and $2$ using $120$ terms.

b$)$ In your code, calculate the true relative error $(\backslash$epsi t $)$ and approximate relative error $(\backslash$epsi a $)$ of

each calculation.

c$)$ Report your results in a table that looks something like the one shown below. $($Be sure to

clearly label the columns of the table$)$

$1$