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![integral from -infinity to infinity of exp(-x^2) is sqrt(pi). I always found this very elegant. | Mathematics geometry, Physics and mathematics, Studying math integral from -infinity to infinity of exp(-x^2) is sqrt(pi). I always found this very elegant. | Mathematics geometry, Physics and mathematics, Studying math](https://i.pinimg.com/originals/d7/1d/08/d71d08985000300bde926b5739144e53.jpg)
integral from -infinity to infinity of exp(-x^2) is sqrt(pi). I always found this very elegant. | Mathematics geometry, Physics and mathematics, Studying math
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![SOLVED:Prove that limx→∞ (e^x)/(x^n) = ∞for any positive integer n . This shows that the exponential function approaches infinity faster than any power of x . SOLVED:Prove that limx→∞ (e^x)/(x^n) = ∞for any positive integer n . This shows that the exponential function approaches infinity faster than any power of x .](https://cdn.numerade.com/previews/14477ce4-1357-4308-bace-f5302b3f270f_large.jpg)