00:01
The way i would approach this problem, the limit as x goes to negative infinity of, what do we get, 5 over x minus x over 3, i would use my algebra skills and get the same denominator because we can multiply the denominators together to get the same denominator.
00:24
So if you did that, you'd have to multiply this term by 3 over 3.
00:28
So you're looking at 15.
00:31
And on this side, i'll do this in blue, you have to multiply top and bottom by x, you know, to get 3x, so we can get minus x squared.
00:42
And we're still doing the limit as x goes to negative infinity.
00:47
But as you look closely at this, and you'll look at the degree on top and bottom, i'm going to put equals here, because the degree on top is a lot, larger than one, technically, this limit does not exist.
01:06
However, if you were to go and, i guess, try to figure out the behavior of the graph, because i think they want that as your answer, because to me, a limit only exists if it equals a numerical value, but you can also state the behavior.
01:24
Because if you plugged in a negative number into x and you square it, you'll be...