Let (u in mathcal{L}^{1}(0,1)) be positive and monotone. Find the limit [lim _{n ightarrow infty} int_{0}^{1} uleft(t^{n}ight)
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Let \(u \in \mathcal{L}^{1}(0,1)\) be positive and monotone. Find the limit
\[\lim _{n ightarrow \infty} \int_{0}^{1} u\left(t^{n}ight) d t\]
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