Section 36 due Dec 5
1. Continuity. So, a function is continuous at a if it has a value f(a) and if both positive and negative limits approach f(a). How do we prove the continuity of every point though? That definition makes it seem like you’d need to check an infinite number of points to know if a function is continuous.
2. So, at the start of the semester, my attitude toward this class material was different then it is now. I used to approach problems as open ended and that I could reason my way to the answer based on what I had learned in the text. But now I’m finding that I’m more rigid in my approach to problems. I now see proof problems as a puzzle with one solution. I think this hampers my thinking and definitely stunts my intuition. I think that’s one thing about this class that has been more difficult than other classes. Many subjects and problems have many approaches that one could take but this material feels much more rigid.
2. So, at the start of the semester, my attitude toward this class material was different then it is now. I used to approach problems as open ended and that I could reason my way to the answer based on what I had learned in the text. But now I’m finding that I’m more rigid in my approach to problems. I now see proof problems as a puzzle with one solution. I think this hampers my thinking and definitely stunts my intuition. I think that’s one thing about this class that has been more difficult than other classes. Many subjects and problems have many approaches that one could take but this material feels much more rigid.
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