Timeline for What is a better way to explain these claims about limit are not true in general?
Current License: CC BY-SA 3.0
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| Jun 26, 2016 at 14:13 | comment | added | Math Misery | The whole idea is that students treat arithmetic with infinities in the same way as with finite arithmetic. They jump to $\infty - \infty = 0$ since $3 - 3 = 0$ or generally $x - x = 0$. | |
| Jun 26, 2016 at 9:20 | comment | added | user797 | I am strongly opposed to teaching $\infty$ as something for which it makes sense to use the "every time" qualifier like that; you wouldn't ask whether "$3-2=1$ every time", would you? When describing, for example, the behavior of a thing that grows without bound, $\infty$ needs to be thought of as the limit of such a thing, not the thing itself. | |
| Jun 24, 2016 at 13:22 | history | answered | Math Misery | CC BY-SA 3.0 |