00:02
Determine whether the following sequences converge, and if so, find the limit.
00:08
Now we're going to focus on sequences 7 and 8.
00:13
7 is the sequence of cos of 3 over n.
00:16
To determine whether converges are diverges, let's evaluate the limit.
00:19
When n approached infinity, if this limit is finite, then our sequence converges.
00:35
So typically, limits of cosines don't generally exist because cosines are periodic, so they vary between plus or minus 1.
00:43
But here we may have a case where it converges because of the 3 over n term.
00:50
So when n is large, this will converge to the coast of 0, which is simply equal to 1...