Вправа 301 - 400 » 336

336. Спростіть вираз. a) 1 + 1/(2+1/(3+1/x ) ) = 1 + 1/(2+x/(3x+1) ) = 1 + (1•(3x+1))/(6x+2+ x) = 1 + (3x+1)/(7x+2) = (7x+2+3x+1)/(7x+2) = (10x+3)/(7x+2); б) n/(n-1/(n-n/(1- n) ) ) = n/(n-1/((n-n^2 - n)/(1- n)) ) = n/(n-(1- n)/〖-n〗^2 ) = n/(n+ (1- n)/n^2 ) = (n•n^2)/(n^3+ 1- n) = n^3/(n^3- n+1.).