• Four bottles - Equidistant mouth problems

    How to place four identical bottles in the plane such that the distance between each pair of mouths will be the same?
  • List of Computer tools in mathematics

    The following list links to free computer tools for mathematics.
  • Asymptotic Differentiable Function

    Let $f$ be any function asymptotic at zero. Prove/Disprove:
    If $f$ is differentiable everywhere in its domain, then $\lim_{x\to \infty}f\;'(x)$ must be equal to zero?
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