Take it to the limit one more time ...
09/04/2008 13:35 Filed in: Lectures
This will be short due to pressing time constraints!
Today in 121, we looked at the ways limits can screw up. These include the presence of jumps in the graph, vertical asymptotes, and too much oscillation. We could also have a limit not exist if the left-hand and right-hand limits both exist at our point but don't agree. Then we began talking (as briefly as possible) about the formal definition of a limit.
Tomorrow we will finish our look at the formal definition of limit and prove the existence of a couple of easy limits. Then we'll start talking about "limit shortcuts and rules." You'll have earned it by then.
Today in 121, we looked at the ways limits can screw up. These include the presence of jumps in the graph, vertical asymptotes, and too much oscillation. We could also have a limit not exist if the left-hand and right-hand limits both exist at our point but don't agree. Then we began talking (as briefly as possible) about the formal definition of a limit.
Tomorrow we will finish our look at the formal definition of limit and prove the existence of a couple of easy limits. Then we'll start talking about "limit shortcuts and rules." You'll have earned it by then.