Determine If the Series Converges Absolutely, Converges, or Diverges $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \sqrt { n ^ { 2 } + 1 } - n \right)$$

question 348

Multiple Choice

Determine if the series converges absolutely, converges, or diverges.
- $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \sqrt { n ^ { 2 } + 1 } - n \right)$$

• A) converges absolutely
• B) diverges
• C) converges conditionally

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