MAT 1320 Lecture 3: Limits

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1320
• Professor: Kevin Fink

Document Summary

Limits picture suggests that as f(x) approaches 0, x --> -1. Intuitive definition of a limit: suppose f(x) is defined when x is near the number a+. Ex no conclusion can be drawn. therefore, the limit does not exist x f(x) We write and say the right hand limit of f(x) as x-->a (from the right) is equal to l if. Left hand limit: (x approaches a from the left) we can make the values of f(x) arbitrarily close to l by taking x to be sufficiently close to a with x bigger than a. One sided limits are important because some functions are discontinuous: 0. 001 106 as x approaches 0, y continues to get grow larger and larger - to infinity. But: infinity is not a real number, so we need a different notation (the infinity symbol). Infinite limit: let f be a function defined on both sides of a, except possibly at a, then.