The math module includes a function exp which computes the exponential of a floating point number. Import this function, and note how many decimal places are given in the evaluation of exp$(1).$ Using Taylor series to approximate the exponential function, we could define the following function:

def exp$\_$taylor $($x$,$ n$)$:

exp$\_$approx $=0$

for $i$ in range$(n)$:

exp$\_$approx $+=x****$ i $/$ factorial$($i$)$

return exp$\_$approx

which computes the value of $n$ terms of the sum in equation $(1\mathrm{.}1)$ from the tutorial notes. How many terms are needed before this function offers no further increase in accuracy in the evaluation of exp$(1)?$