In advanced mathematics (pitkä matematiikka), what is the sum of the infinite geometric series $\sum_{k = 0}^{\infty} 5 (\frac{2}{3})^{k}$ ?

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In advanced mathematics (pitkä matematiikka), what is the limit $lim_{x \to 0} \frac{s i n ( 3 x )}{2 x}$ ?
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