MATH114 Lecture Notes - Lecture 7: Oliver Heaviside

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: Alsaody,Seidon

Document Summary

Idea: study how the value of a function behaves as x approaches a point a. f(x) = (cid:2869), f(0) is not defined but f(x) approaches infinity as x approaches 0 from right. Here y(-1) = -2, but g(x) approaches 1 as x approaches -1 from the left. Here y(2) = 4, and g(x) approaches 4 as x approaches 2 from either side. The limit is written as lim (cid:1858)(cid:4666)(cid:4667)= or f(x) l as x a. Note: what f is at a is not important https://courses. lumenlearning. com/precalctwo/chapter/finding-limits-numerical-and-graphical-approaches/ Maybe f(a) is not defined or f(a) l, only requirement is that f(x) l as x a from left and right. Same question for g(x) = (cid:2869)2 and h(x) = (cid:2869)2+ and h(x) = {(cid:883) (cid:1858) (cid:882) (cid:882) (cid:1858) < (cid:882) Indeed you can make x2 as close to 0 as you want by taking x close enough to 0. g(x) = (cid:2869)2.