Let's review the Warm-Up activity and then establish direct substitution as the initial strategy for evaluating limits analytically.  When our function is "well-behaved," we will see that direct substitution is also the final strategy.  Duration: 7:42

After looking at two very basic (and possibly self-evident) limits, we will establish a number of limit laws including: the Constant Multiple, Sum and Difference, Product, and Quotient Laws.  Duration: 6:57 

In this first part of Example 2, we use a combination of Limit Laws to evaluate a couple of limits.  When those Limit Laws fail to apply, we have to resort to one-sided limits.  Duration: 10:22 

Continuing Example 2, we'll see one instance when the Quotient Law applies and one instance in which it does not.  Duration: 7:20 

Two more limit laws, including the Power Law, leads to the conclusion that direct substitution is the optimal strategy for any Polynomial or Rational Function, assuming we are not dividing by zero.  Duration: 5:50  

Example 5 demonstrates how to use one-sided limits to deal with piecewise functions.  Duration: 4:57

Radical and Trig Functions get their own laws as well, validating direct substitution as long as your x-value is a member of the function's domain.  Duration: 4:47  

Example 8 deals with evaluating limits involving trig functions.  Here's where some Unit Circle mastery comes in handy.  Duration: 2:39