Chapter 1.6, Problem 37P

Prove the special comparison test. Hint (part a): If $a_n/b_n\to LandM>L$, then $a_n<M{b}_n$ for large n. Compare ${\displaystyle {\sum }_{n=1}^{\infty }{a}_n}$ with ${\displaystyle {\sum }_{n=1}^{\infty }M{b}_n}$.