00:01
Okay, so this sequence, my first term is 1 over 2, my second term is 2 over 3, my third term is 3 over 4, my 4th term is 4 over 5, and so on and so forth.
00:11
So to find the least upper bound, first thing i'm going to do is just create, what would this general formula be? well, it seems to be whatever k equals is my numerator, and then i'm adding 1 to whatever k equals.
00:23
What is my least upper bound? well, as k increases, my limit is x or as k approaches infinity.
00:33
What is this going to equal for my upper bound? well, this will be k over k plus one.
00:37
How can i evaluate this limit? well, using limit techniques from first couple chapters, i can multiply by 1 over k, right to each term...