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Calculus · Series-And-Sums

Convergence of n/(n + 1)

\frac{n}{n + 1}

Step by step

  1. \sum_{n=1}^{\infty} \frac{n}{n + 1}

    Does this series converge?

  2. \lim_{n\to\infty} \frac{n}{n + 1} = 1

    Divergence test: if the terms do not go to 0 the series cannot converge.

Reveal the answer
\text{diverges}