00:01
We want to determine whether the sequence a -n is equal to 1 minus 2n over 1 plus 2n converges, diverges, and if it converges, what it converges to.
00:12
So first let's just go ahead and write our limit.
00:15
So the limit as an approaches infinity of a .n.
00:23
Is equal to the limit as an approaches infinity of 1 minus 2 n over 1 plus 2 n.
00:33
Now, whenever we work with rational sequences like this, and we're looking for the limit as n goes to infinity, what we're going to want to do is identify the largest power in either the numerator or the denominator.
00:49
So in the numerator, the largest power is in, as well as in denominator, the largest power is in.
00:55
So let me just write that off on the side...