Q:

Please help me. Describe these long term behavior.​

Accepted Solution

A:
Check the picture below.recall the oblique asymptote occurs when the degree of the numerator is greater by 1, in these two cases, that's what happens.notice the quotient on the first one of x - 2, namely the oblique asymptote is y = 1x - 2, so its slope is well, you already know, is 1.on the second one in the picture below, the quotient is 3x - 3, namely the oblique asymptote is y = 3x - 3, so the slope is just as you guessed it, is 3.