$\%$ Approximate the value of e $^$ x using the Taylor Series

x $=$ input$($ 'Enter the value of x for e$^$x$.$ x $=\text{'})$;

t $=$ input$($ 'Enter the amount of desired terms. t $=\text{'})$;

i $=1$;

e$\_$taylor $=0$; $\%$ initializing the variable for the accumulator

while i $<=$ t

e$\_$taylor $=$ e$\_$taylor $+$ x$^($i$-1)/$factorial$($i $-1)$;

i $=$ i $+1$; $\%$ change the value of variable i

end

real$\_$value $=$ exp$($x$)$;

disp$($ 'Real Value' $)$

disp$($real$\_$value$)$

disp$($ 'Approximated value with Taylor series' $)$

disp$($e$\_$taylor$)$

disp$($ 'amount of iterations' $)$

disp$($i$)$

disp$($ 'real error' $)$

E $=$ abs$($e$\_$taylor $-$ real$\_$value$)$;

disp$($E$)$