试证级数发散: \(\sum\big|1-{\large\frac{a_{n+1}}{a_n}}\big|\;(0< a_n\to 0)\)

elim

题：试证级数发散: \(\displaystyle\sum_{n=1}^{\infty}\big|1-{\small\frac{a_{n+1}}{a_n}}\big|\;\;\small(0< a_n\to 0).\)