The given options are: (A) f is bounded. (B) f is bounded if it is continuous. (C) f is differentiable if it is continuous. (D) f is uniformly continuous if it is continuous.
Any hints on how to approach this sum? I tried using Mean Value Theorem, that did not seem to work. One observation regarding the function is that it will have same value across all integral points but how do I analyze the non-integral points?