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RE: 07-07-2025 - Mathematical Analysis - Asymptotes [EN]-[IT]

in Olio di Balena8 days ago

I so much love and admire this so much. The way you always teach with so much ease is what I really love the most

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Hi Goshen, thanks for your kind words. I tried to explain asymptotes simply, although the name is actually scary, but an asymptote is actually a simple thing. For example, let's take the function f(x)=1/x (I'm attaching the graph generated with AI, Microsoft Copilot). Looking at the graph, we notice that the function's curve never touches the x-axis or the y-axis. So these lines are called asymptotes, that is, lines that mark a sort of limit that the function never touches; it approaches, but never touches. In the figure, I've highlighted the asymptotes in yellow. !WEIRD