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teaching:topics:calculus:limits [2022/07/26 13:19] simon |
teaching:topics:calculus:limits [2022/07/26 13:20] (current) simon |
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===Now take time to see what we can make of all this!=== | ===Now take time to see what we can make of all this!=== | ||
- | What do we mean when we write \(\quad\lim\limits_{x\to n}{\rm f}(x)\) ? | + | What do we mean when we write \(\quad\lim\limits_{x\to n}\,{\rm f}(x)\) ? |
- | Then ... what does it mean to write \(\quad\lim\limits_{x\to\infty}\,{\rm f}(x)\) ? | + | Then ... what does it mean to write \(\quad\lim\limits_{x\to\infty}{\rm f}(x)\) ? |
Now ... try to graph the function: \(\displaystyle\quad {\rm f}(x) = \frac{x^2-a^2}{x-a},\quad\) say when `\ a = 2` | Now ... try to graph the function: \(\displaystyle\quad {\rm f}(x) = \frac{x^2-a^2}{x-a},\quad\) say when `\ a = 2` |