MATH 221 Lecture Notes - Lecture 15: Polynomial Long Division

• School: University of Illinois
• Department: Mathematics
• Course: MATH 221
• Professor: Anema

Document Summary

Note : the lecture was a revision for the limits, continuity , asymptotes topics discussed previously. If after plugging in, you get 0 , , , then you may need to use some techniques below: Here are some formulas to help with factoring: 2: you have to divide the top and bottom by exactly the same thing. for example: don"t divide the top by x, and the bottom by x 2 . If there is square root, or square, you have to take them into consideration when finding the . Keep in mind the 3 types of asymptotes we"ve learned: if limx f(x) = l = (either + or ), then we say that f(x) has horizontal asymptotes at y = l. 2. if limx a f(x) = , we say that f(x) has vertical asymptotes at x = a.