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

question 287

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \left( \tan ^ { - 1 } ( \mathrm { n } + 1 ) - \tan ^ { - 1 } \mathrm { n } \right)$$

• A) converges; \(\frac { \pi } { 2 }\)
• B) converges; \(\pi\)
• C) converges; \(- \frac { \pi } { 2 }\)
• D) diverges

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