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Comparing $\sqrt{1001}+\sqrt{999}\ , \ 2\sqrt{1000}$

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Laplace, Legendre, Fourier, Hankel, Mellin, Hilbert, Borel, Z...: Unified Treatment of Transforms?

Examples of Famous Problems Resolved Easily

Finding the Value of $\sqrt{1+2\sqrt{2+3\sqrt{3+4\sqrt{4+5\sqrt{5+\dots}}}}}$

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