The graph of the function \( y=f(x) \) has a unique tangent at \( \left(e^{a}, 0\right) \) throu...

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The graph of the function \( y=f(x) \) has a unique tangent at \( \left(e^{a}, 0\right) \) through which the graph passes then \( \lim _{x \rightarrow a^{a}} \frac{\ln (1+7 f(x))-\sin (f(x))}{3 f(x)} \) is equal to:
(a) 1
(b) 3
(c) 2
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