What is the sum to infinity of the geometric series with first term 3 and common ratio $\frac{1}{4}$ ?

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Find the $x$ -coordinate of the local minimum of $f (x) = x^{3} - 3 x$ .
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The function $f$ is defined by $f (x) = 3 x - 3$ . Find $f^{- 1} (0)$ .
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