00:01
We want to determine whether the sequence a .n is equal to 3 over n to the 1 -in converges or diverges, and if it converges what it converges to.
00:12
So before we do anything, let's go ahead and rewrite this to be 3 to the 1 over n, and n to the 1 over n.
00:22
Now, if we go ahead and apply the limit, as in approaches infinity, a .n is equal to the limits as an approaches infinity of 3 over 1 in over into the 1 .m.
00:40
Now, i'm going to put a little question mark here, because we might be able to apply the quotient rule for limits if these limits exist, and the denominator is not 0.
00:52
So if we can show that both of those converge to something, then we can go ahead and apply the quotient rule.
00:59
So for right now, let's just leave that question mark there until we actually can show it...