More Limit Examples

 Today in class we went over more examples of limits. We focused mainly on how to approach the problem if  you get the fraction (0/0) when you first "plug in" the limit number.  If you do get (0/0) then you have to factor in order to cancel out like terms.  The "secret" that we learned today, was that you solve derivatives the same way you solve these limit problems. 

When a limit does not exist; Algebra and Limits; Direct Substitution

Today we learned that 3 reasons that a limit does not exist: the limit does not exist because of oscillating behavior; the limit does not exist because of unbounded behavior; the limit does not exist because of different left/right behavior.  We learned that algebra and limits is "nice" because it makes sense to us.  Direct substitution involves plugging the limit number into the equation.