When we write the expression $$limn$->\backslash$infty f$($n$)=$ L$,$ this really means that $$we can ensure that f$($n$)$ will be

as close to L as we like, provided we take n sufficiently large$.$ Write MATLAB code that takes as input a

symbolic function f$,$ a limit L$,$ and an error threshold err, and returns the smallest positive integer n for which

$|$f$($n$)$ L$|<$ err. Examining the limit you considered in $2($a$),$ use your code to produce the smallest integer n

for which the ratio of functions you considered is within $106$ of its limiting value.