#### Answer

$\boxed{\textbf{True}}$

#### Work Step by Step

This statement is true because, by definition, a function can only be differentiable at a point $k$ if, and only if, the function is continuous at $k$ and $\lim\limits_{x \to k^{-}} f(x) = \lim\limits_{x \to k^{+}} f(x)$. Therefore, if a function is differentiable at a point, it is guaranteed to be continuous at that point.