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

Multiple Choice

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

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