If \( f(x) \) continuous in \( [0,1] \) and \( f\left(\frac{1}{3}\r...

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If \( f(x) \) continuous in \( [0,1] \) and \( f\left(\frac{1}{3}\right)=1 \) then \( \lim _{n \rightarrow \infty} f\left(\frac{n}{\sqrt{9 n^{2}+1}}\right) \) is
\( \mathrm{P} \)
W
(a) 1
(b) 0
(c) \( \frac{1}{3} \)
(d) none of these
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