It's always a good feeling when the beginning of a section starts with the idea of doing what we just did only we're going to make it easy now.
It makes sense that the limit of two added functions would be the addition of their limits. I say this because if you add two functions together, then the result is the sum of each individual result, which is what you would be approaching through the limit. As for the limit of the multiplication of functions, I would say that this is less intuitive, but we've all seen it before, and it makes sense. I especially enjoyed the case when M=0. I understood that one the first time through.
Probably the most confusing thing for this section was reading about the three deltas. I thought I understood min(1,a(epsilon)) was like bounds...where 1<delta<a(epsilon). But then we all of a sudden have delta=min(delta1,delta2,delta3)...are those three dimensional bounds. So I'm confused. Then in the proof, I'm super confused with how we got to epsilon/2 for the second part. I'm assuming we will derive this in class though...? Hopefully a good assumption.
The good news is that I genuinely believe that this box of tools is going to make math easier. :)
No comments:
Post a Comment