\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute \(\displaystyle \lim_{n \to +\infty} \left( \prod_{k=1}^n \left(1 + \frac{k}{n}\right) \right)^{1/n}\). Hint: take logarithms.
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