Linux isnt even suppose to be even close to Unix. Linux is based off of Minix, a micro-kernel architectureâ¦ Minix and Unix are 2 completely different cores, as different as Windows and Mac OS X, Windows and Linux, and Mac and Linux. BSD is a different beast, based on Unix, Linux is based on Minix, OS X is based on BSD.
1 A geometric sequence is one in which the same number is multiplied or divided by each element to get the next element in the sequence. 2  2, 4, 8, 16, ... is a geometric sequence.
Thus, the geometric series converges only if the series #sum_(n=1)^(+oo)r^(n-1)# converges; in other words, if #lim_(n->+oo)((1 - r^n)/(1-r))# exists. If |r| > 1 : #lim_(n->+oo)((1 - r^n)/(1-r)) = oo#. If |r| < 1 : #lim_(n->+oo)((1 - r^n)/(1-r)) = 1/(1-r)#. Therefore, the geometric series of geometric sequence #u_n# converges only if the absolute value of the common factor #r# of the sequence is strictly inferior to #1#.