nice-calculus-prove-that-n-0-tan-1-1-F-n-tan-1-1-F-n-1-pi-2-4-F-n-is-fibonacci-sequence-

Question Number 137605 by mnjuly1970 last updated on 04/Apr/21

\dots . . n i c e c a l c u l u s \dots

p r o v e t h a t ::

\underset{n = 0}{\sum^{\infty}} {t a n}^{- 1} (\frac{1}{F_{n}}) . {t a n}^{- 1} (\frac{1}{F_{n + 1}}) = \frac{π^{2}}{4}

F_{n} i s f i b o n a c c i s e q u e n c e \dots .