MAT 1339 Lecture Notes - Lecture 3: Indeterminate Form

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1339
• Professor: Michael Reeks

Document Summary

You can use any point because these slopes are constant. Slope of secant lines or average rate of change: constant and rely on a,b to be determined. Slope of tangent lines or instantaneous rate of change: you need to find the limit to determine these slopes because of domain restrictions. Slope of tangent line as x = a. You need to make the f(x) close to c by making x close to a. When you write down the equation, a can be undefined since it sets the limit where the defined points start. f(x) = c note: a and c are numbers. The limit doesn"t exist since there"s 2 different values. The limit exists when there is a hole (undefined point) but it does not when there is a jump (discontinuity) or asymptotes. Infinity isn"t a valuable answer because it isn"t precise. Theorem: if a function is continuous (cts), then.