Answer
True
Work Step by Step
Let us say that the secant line is connected to the points $(x,f(x))$ and $(c, f(c))$ .
If the point $(c, f(c))$ is kept fixed, while $x \to c$, then the two points get closer to each other and the secant line becomes the tangent line. Put another way, the secant line connects two points on a graph, while the tangent line gives the slope of one point. When the two points get closer together, the two points become one and the tangent line and secant line match.
So, the given statement is True.