Let a$\_$n be the sequence $2\mathrm{.}7,2\mathrm{.}71,2\mathrm{.}718,\backslash$dots that you obtain by terminating the number e after n decimal places. What is $\backslash$lim$\_\{$n $\backslash$to $\backslash$infty$\}$ a$\_$n $?$The multiple$-$choice options are:A$.\backslash$lim$\_\{$n $\backslash$to $\backslash$infty$\}$ a$\_$n exists but cannot be determined precisely.B$.\backslash$lim$\_\{$n $\backslash$to $\backslash$infty$\}$ a$\_$n $=$ e $.$C$.\backslash$lim$\_\{$n $\backslash$to $\backslash$infty$\}$ a$\_$n could converge to more than one number.D$.\backslash$lim$\_\{$n $\backslash$to $\backslash$infty$\}$ a$\_$n does not exist because the terms of the sequence a$\_$n do not approach $0.$