Comments by "zixuan zhao" (@zixuanzhao6043) on "3Blue1Brown" channel.

  1. Whenever I want my mind blown I came to this channel, works every time .
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  2. how to explain Lopital's Rule like this when applied where f and g approaches to infinity?
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  3. I have a question about the dual vector we're trying to find here. Couldn't there also be some other projection vector q which is not perpendicular to v-w plane nor its length is the area of the v-w parallelogram but also satisfies that q dot_product (x,y,z) equals the determinant value(the volume) on the right side? Why can't this vector q be the dual vector? Update: I can prove that there could only be only one linear transformation computationally, namely q has to be equal to p from the video. However thinking geometrically I have to do a tiny bit of reasoning. Any ideas?
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  4. Intuitively why on earth the derivatives of a single point in the graph like e^x or sin(x) can determine the whole graph's shape or information at all other points (aka converge radius is infinite)!?
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  5. explained by power function series. Must inspect the remainder term.
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  6. how they fool ya~~
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