3. Find the successive convergents and their values of the finite simple continued fraction $\langle 2,1,2,1,1,4,1,1,6,1,1,8\rangle$, and compare them with the value of the base of the natural logarithm $e$.
3. $2,3,2+2 / 3,2+3 / 4,2+5 / 7,2+23 / 32,2+28 / 39,2+51 / 71,2+334 / 465$, $2+385 / 536,2+719 / 1001,2+3799 / 5289 \approx 2.718283229 . \mathrm{e}$ The approximate value of e is: $2.718281828 \cdots$. This continued fraction is an approximant of the infinite simple continued fraction expansion of e.