Sequences

Exercises

1. Analyze $\sum_{m=1}^{\infty} \frac{x^m}{m}(1+\frac{1}{m})$.

2. Find the domain of the following sequences; establish if they are monotone and/or bounded.

   • a) $a_n = \frac{n^2+3}{n-1}$
   • b) $a_n = \frac{(-1)^n}{n-1}$