Exercise $1\mathrm{.}5.($Bilodeau et al$.,$ Section $3\mathrm{.}2,6$a$)$

True or False: If some deleted neighborhood $of$ the point $c,$ and $\underset{xc}{lim}f(x)$ and $\underset{xc}{lim}g(x)$ both exist, then

$(Notice$ that this $is$ similar, but different $to$ the Monotonicity Theorem from our notes.$)$