Emanuele Paolini
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 Dec 29 comment What is the value of $\frac{\sin x}x$ at $x=0$? I would not say that $f$ is not continuous at $x=0$. Continuity is only defined for points of the domain. Dec 28 revised Prove that $|f|\leq 1$ whenever $|x|\leq 1$. added 3 characters in body Dec 28 answered Prove that $|f|\leq 1$ whenever $|x|\leq 1$. Dec 20 comment Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital Do you know that $\sin(t) / t \to 1$ as $t\to 0$? Dec 20 revised Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital added 174 characters in body Dec 20 answered Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital Dec 20 comment Wind vector transformation from Gaussian grid to displaced pole grid Could you provide the formula used to transform points? Dec 19 answered I would like to calculate the following limit: $\lim_ {n \to \infty} {\left( {n\cdot \sin{\frac{1}{n}}} \right)^{n^2}}$ Dec 19 revised I would like to calculate the following limit: $\lim_ {n \to \infty} {\left( {n\cdot \sin{\frac{1}{n}}} \right)^{n^2}}$ deleted 62 characters in body Dec 16 revised How to show a piecewise function is continuous on a subinterval added 13 characters in body Dec 15 comment Maximum Probability to hit the bear. It's not clear from the problem statement if the hunter knows when the bullets hits the bear. Dec 15 revised Let $x^2+kx=0;k$ is a real number .The set of values of $k$ for which the equation $f(x)=0$ and $f(f(x))=0$ have same real solution set. added 26 characters in body Dec 8 revised Product rule in limit added 3 characters in body Dec 7 answered If $f''+f'=f$ then $f\equiv 0$ Dec 6 comment Differentiating $e^x$ from first principles using limits. You should specify which is the definition of $e^x$. The answer can vary. Dec 5 revised How many ways can this be done? added 178 characters in body Dec 5 answered How many ways can this be done? Dec 4 comment Are $A^c$ and $B^c$ homeomorphic? More interesting: if $A$ and $B$ are compact, connected and homeomorphic. Are the complementary sets homeomorphic? Dec 4 revised Uniform convergence (similar to Dini's theorem, but different) edited body Dec 4 answered Uniform convergence (similar to Dini's theorem, but different)