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Please give me a moment to examine it further.From what I can see in the image, the problem involves calculating a summation or a limit with factorials. The exact details aren't entirely clear, but it looks like you're dealing with an expression of the form:

\[
\lim_{n \to \infty} \sum_{k=1}^{n} \frac{k}{(n+1)^k}
\]

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\( \lim_{n \to \infty} \sum_{k=1}^{n} \frac{k}{(n+1)^k} \)

Learn how to calculate the limit of a summation involving factorials: \( \lim_{n \to \infty} \sum_{k=1}^{n} \frac{k}{(n+1)^k} \). This problem covers advanced calculus concepts including series, summations, limits, and the convergence of series. Suitable for college-level students.

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