advanced-calculus-evaluate-K-n-N-1-2-2n-1-cos-pi-2-n-

Question Number 121362 by mnjuly1970 last updated on 07/Nov/20

\dots a d v a n c e d c a l c u l u s \dots

e v a l u a t e :

K = \sum_{n \in N} \frac{1}{2^{2 n} (1 + c o s (\frac{π}{2^{n}}))} = ?

Commented by mindispower last updated on 07/Nov/20

h a v e y o u t h e r e s u l t n o t t h e a n s w e r

Answered by mindispower last updated on 07/Nov/20

i w i l l t r y b u t n o t s u r, t t h i s \frac{1}{1 + c o s (\frac{π}{2^{n}})} s e e m s

b e e i m p r e s s i v, m a y b e e t u r n i t o n \frac{1}{2} (1 + {t g}^{2} (\frac{π}{2^{n + 1}}))