Mathematics

Problem

Let

f(x) = \frac{2 + e^{\frac{1}{x}}}{1 + e^{\frac{4}{x}}} + \frac{\sin x}{|x|}

, then

\lim_{x \rightarrow 0} f(x)

is equal to (a) 1 (b) 2 (c) 3 (d) non-existent