By Eric Lake

Section 2.3 - Limit Laws, Finding Limits Algebraically, and the Squeeze Theorem

Finding Limits Algebraically

This module both has video lectures and also a worksheet with practice problems below!

Videos

This is an introduction to finding limits algebraically, going through each of the methods we will use to solve these limits, and also do a factoring example.

This is an example where we solve a limit by expanding (FOILing).

This is an example where we solve a limit via the conjugate.

This video solves a limit of two fractions by combining the fractions via common denominators

This problem deals with constant over 0 forms (vertical asymptotes), which aren't indeterminate, so we need to deal with differently.

Worksheet

For your practice, here is a worksheet on several problems on solving limits algebraically. Do your best to do these without looking notes or a video, at least until you get stuck, then take a look at those resources.

When you are finished, check your work with the full worked solutions.