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Multiple Choice

Which of the following series is convergent?

  1. $\sum_{n=1}^\infty \frac{1}{n}$
  2. $\sum_{n=1}^\infty \frac{n}{n+1}$
  3. $\sum_{n=1}^\infty (-1)^n$
  4. $\sum_{n=1}^\infty \frac{n^2}{n+1}$
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