![After explaining to a student, with various lessons and examples, that \[ \lim_{x \to 8} \frac{1}{x - 8} = \infty \] I tried to check if she really understood that, so I gave her a different example. This was the result: \[ \lim_{x \to 5} \frac{1}{x - 5} = ['5' rotated 90° to the left] \]](https://p2.dreamwidth.org/b2f97b50a1e6/20791-344478/files.rsdn.ru/187/limit.jpg)
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Philip Newton
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Re: \lim
Date: Wednesday, 20 October 2004 05:25 (UTC)The words make sense and the pretty pictures make sense, but I wouldn't have the foggiest idea how to put it into use or why you would use it in the real world :).
Hence my problem with algebra in general. It was never that I couldn't do it, as long as I closed my eyes, blindly followed the rules and hope for the best. I just couldn't rely on the 'rules' I had to know why everything did it, so I could work it in my head, and be able to work it out from different directions to check. Doesn't matter how many Math People I went to nobody could tell me the 'why'.
But nevertheless, I love that example!