Answer
True
Work Step by Step
$\lim\limits_{n \to \infty} a_n = 3$ (Given)
$\lim\limits_{n \to \infty} b_n = 2$ (Given)
Therefore, $\lim\limits_{n \to \infty}(a_n+ b_n) =\lim\limits_{n \to \infty} a_n + \lim\limits_{n \to \infty} b_n = 3+2=5$
