Sunday, December 6, 2009

Limits

What do you still not understand about limits? Choose 3 problems or types of problems anywhere from chapter 2 that were the most difficult and that you would like to get more help on. OR you can simply explain 3 ideas / concepts that still elude you.

Limits are pretty confusing, but after a while you start to understand them better.

1. One of the concepts of limits that confuses me at times is discontinuity. I understand that in order for a point to be continuous, it's limits from both sides must be the same. The answers to questions like, "what are the points of discontinuity," do not always come to me quickly. There are always problems that really make me think about the graph. Y=int x is one example. Although, the graph is pretty simple, I have to draw it myself so I could picture it well.

2. Finding end behaviors is one of the few concepts of limits that interest me. Maybe, it's because of the fact that I find them fun and fairly easy.

3. Every now and then I have problems finding the limits as x approaches positive and negative infinite. For example, f(x)=sin x/x is one of those problems. When I first looked at the graph I had no idea what the answer was. When I actually took the time to understand the graph, I noticed that the further out the graph went, it kept getting closer and closer to zero on both sides.

3. vert.horiz.

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