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

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

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

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

Definitions:

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