This week we learned about limits. I took the third trimester of precalculus last year, so most of it was review like last week. I'm pretty sure that limits have something to do with derivatives and calculus so it's a good thing that I feel pretty confident finding them. The one thing I was having a hard time with in class was the sandwich "squeeze" theorem. I can understand that it works and even how the example we were given works (pictured below) but I don't know how to apply it to any other problem or equation other than the one we were shown. I can remember it and copy it over, but if I want to be able to translate it over to any other problem, I'm going to need some extra support to conceptualize it.
All of the other limits information we went over I have down from last year, I think that was one of the units I had a good hold on. When finding limits, you are basically looking at where the function is going from both directions at a certain value of x. If the function is continuous at the value of x, all you have to do is plug in the value of x to find the limit. If the graph has a hole at the x value you are looking at, you can manipulate the function algebraically to effectively remove the hole and plug in the x value for the limit.
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