1-prove-that-thx-2-th-2x-1-th-x-2-simplify-S-n-k-0-n-2-k-th-2-k-x-

Question Number 51986 by maxmathsup by imad last updated on 01/Jan/19

1) p r o v e t h a t t h x = \frac{2}{t h (2 x)} - \frac{1}{t h (x)}

2) s i m p l i f y S_{n} = \sum_{k = 0}^{n} 2^{k} t h (2^{k} x)