Takasima Senko
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 Sep 2 awarded Popular Question Jul 2 awarded Curious Apr 4 accepted An integral inequality related to Taylor expansion Mar 17 asked Prove $f$ not continuous at SEEMOUS Contest Mar 3 asked Limits of Integral $\lim\limits_{n\to\infty}\int\limits_a^b\sqrt[n]{f^n(x)+g^{n}(x)}dx.$ Sep 30 awarded Informed Jul 21 awarded Nice Question Jun 11 awarded Yearling Jun 3 comment Evaluate $\int\limits_0^1\frac{(1-x)e^x}{x+e^x}\,dx$ @julien: I wish I could evaluate it exactly and represent it in natural form. Jun 3 asked Evaluate $\int\limits_0^1\frac{(1-x)e^x}{x+e^x}\,dx$ May 17 awarded Caucus Apr 17 comment Find maximum of the function $f(x)=\dfrac{e^{\frac{2x}{x+1}}-1}{x}$ No maximum found when $x\geq 0$. Apr 16 accepted Find norm of the integral operator Apr 15 comment Find norm of the integral operator I tried to prove that $||A||=\sup\limits_{t\in[0,1]}\int\limits_0^1e^{-ts}ds=\sup\limits_{t\in [0,1]}\frac{1-e^{-t}}{t}$. But I can't find supremum. I guess that supremum equals 1. Apr 15 comment Find norm of the integral operator i tried but i can't find $\sup\limits_{t\in[0,1]}\frac{1-e^{-t}}{t}$. Apr 15 asked Find norm of the integral operator Apr 7 asked An integral inequality related to Taylor expansion Dec 17 asked Uniqueness Theorem for ODE Dec 17 comment Lipschitz of multifunction of F $F$ is Lipschitz with respect to the Hausdorff distance. Dec 16 comment Lipschitz of multifunction of F You can find in the following link: en.wikipedia.org/wiki/Multivalued_function