MATH 1610 Study Guide - Final Guide: Asymptote

• School: Auburn University
• Department: Mathematics
• Course: MATH 1610
• Professor: Yu Chen

Document Summary

Spring 2021: evaluate each of the following limits if it exists. If it does not exist, explain why. (a) (8 points) lim x 1 x 1 x2 + 5x 6 (b) (13 points) X2 + 3 2 x + 1 lim x 1. |x| x how lim x 0 x4 sin x: (10 points) can we apply limit laws to lim x 0 x4 sin x. Math1610: let (a) (6 points) does lim z 1 g(z) = . 1 + ln z ez 1 sin z z > 1. If no, explain why and name the type of discontinuity. You can use the result from part (a). Spring 2021: (20 points) find the horizontal and vertical asymptote(s) of y = 4x4 + 7 x2 and check your answer by evaluating the corresponding limits (in nite limit and limit at in nity).