If f(x) = \(\left\{\begin{array}{ll}\text{k}, & \text {for x} = 1 \\ \frac{(9\text{x}−1)(\sqrt{\text{x}}−1)}{3\text{x}^2+2\text{x}−5} ,& \text {for x} \neq 1\end{array}\right.\) is continuous on [0, ∞), then k =

1
\(\frac{1}{16}\)
2
\(\frac{1}{8}\)
3
\(\frac{1}{4}\)
4
\(\frac{1}{2}\)

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