Gregory Series/Also presented as

Gregory Series: Also presented as

The Gregory series can also be seen in the form:

$\tan^{-1} \theta = \theta - \dfrac {\theta^3} 3 + \dfrac {\theta^5} 5 - \ldots$

which is valid for $-1 \le x \le 1$.


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Gregory's series (J. Gregory, 1667)
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Gregory's series (J. Gregory, 1667)
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