# R vs L

Calculus Level pending

Let $$f(x)$$ defined on $$[x,\infty]$$ with $$f(x) = \frac{\sin(x)}{x}$$ for $$x \in (0, \infty)$$ and $$f(0) = 0$$

$$f : [0,\infty) \rightarrow \mathbb{R}$$

Then: Which of these statements is true for $$f$$ ?