Question:

Let f<span class="math-inline">(x) = \left[ \frac{\sin x}{x} + \frac{2 \sin 2x}{x} + ... + \frac{10 \sin 10x}{x} \right] (where [y] is the largest integer \leq y). The value of lim<span class="math-inline">_{x \to 0} f(x) equals</span>