MATH 1P97 Lecture Notes - Lecture 10: Blim

• School: Brock University
• Department: Mathematics and Statistics
• Course: MATH 1P97
• Professor: Anton Knigavko

Document Summary

Earlier, we discussed the basic idea of limits. Now i"ll explicitly list the properties we took advantage of earlier, and some of the necessary rules for calculating limits properly. Hint: i"ll put down restrictions on the rules/prperties, etc. However, the restrictions end up boiling down to this rule works precisely when the resulting calculations make sense", meaning when you can calculate them without an error message (division by zero, etc). Property: all polynomials have lim x a p(x) = p(a) for all real numbers a, and so do exponentials. Y x = y a lim x a for all real numbers a and positive y . 4x = 43 = 64 lim x 3 lim x 1 x2 5x + 12 = 1 + 5 + 12 = 18. The reason for this is visible in the graphs of these functions. Polynomials, exponentials, and most trig functions are solid lines, like.