as most of these discussion they go from "these number are impossible!" to "but wait! there's algebra!" without really providing a framing context of what's goi

as most of these discussion they go from "these number are impossible!" to "but wait! there's algebra!" without really providing a framing context of what's going on. this is what's going when the article say "slides smoothly in toward 2" https://www.google.com/search?q=(x^2%2B2x)/x https://www.google.com/search?q=(x^2%2B2x)/x and this is another common example, which "slides" toward a different number (which is why when you see the division alone is "undefined" and only acquires value in context) https://www.google.com/search?q=sin(x)/x https://www.google.com/search?q=sin(x)/x but beyond the "just apply limits" party trick it's the implication however that's the most interesting part, and I'll use the words from here[1]: > Things that appear to be zero may be nonzero in a different dimension (just like i might appear to be 0 to us, but isn’t) [1] https://betterexplained.com/articles/why-do-we-need-limits-and-infinitesimals/ https://betterexplained.com/articles/why-do-we-need-limits-a...