But if you approximate a triangle using rectangles under the hypotenuse, the area converges to the triangle's area, but the length of the hypotenuse doesn't converge to the correct value! Explain the paradox.https://twitter.com/InertialObservr/status/1163521238951591937 …
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Replying to @octonion
it's essentially the same thing as the pythagorean "step" paradox
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Replying to @InertialObservr
It was a favorite paradox when I was an undergraduate.
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Replying to @octonion
i agree.. it's more subtle than it originally seems
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Replying to @InertialObservr
It converges pointwise, do why isn't the limit the correct length?
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Replying to @octonion
i believe you need absolute convergence
11:53 AM - 19 Aug 2019
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