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 Feb 21 awarded Yearling Feb 20 revised For what real values of $a$ and $b$ is $\displaystyle f(x)=\dfrac{1}{\lvert x \rvert ^a(1+\lvert x \rvert ^b)}$ integrable? corrected title Feb 20 suggested approved edit on For what real values of $a$ and $b$ is $\displaystyle f(x)=\dfrac{1}{\lvert x \rvert ^a(1+\lvert x \rvert ^b)}$ integrable? Feb 18 answered Which is a hypergeometric distribution? Feb 18 revised Definitions on ratio and root tests corrected spelling Feb 18 suggested approved edit on Definitions on ratio and root tests Feb 18 answered Definitions on ratio and root tests Feb 18 comment Show that $f_n=(1+\frac{x}{n})^n$ converge uniformly on all compact of $\mathbb R$. Just a small remark: you forgot to use $n!/[n^k (n-k)!]\leq 1$ in the next inequality. Feb 17 revised $f(x) = x\sin(1/x)$, $0 < x \le 1$, with $f(0) = 0$, is continuous on $[0, 1]$? edited the body Feb 17 revised Let $f$ be Riemann integrable on $[0,1]$ s.t $0\leq f (x)\leq\int_0^1f(t)\hspace{.05cm}\mathrm{d}t$. Prove that $f(x)= 0$. Edited the title. Feb 17 revised improper integrals( very basic) edited the notations Feb 17 answered $f(x) = x\sin(1/x)$, $0 < x \le 1$, with $f(0) = 0$, is continuous on $[0, 1]$? Feb 17 suggested approved edit on improper integrals( very basic) Feb 17 suggested approved edit on Let $f$ be Riemann integrable on $[0,1]$ s.t $0\leq f (x)\leq\int_0^1f(t)\hspace{.05cm}\mathrm{d}t$. Prove that $f(x)= 0$. Feb 17 suggested rejected edit on Let $f$ be Riemann integrable on $[0,1]$ s.t $0\leq f (x)\leq\int_0^1f(t)\hspace{.05cm}\mathrm{d}t$. Prove that $f(x)= 0$. Feb 15 answered How to find $\int_{-\infty}^\infty \exp(-x^2) \, dx$ with contour integration? Feb 13 answered Is $\rho(A^2) = \rho(A)^2$? Feb 7 answered Proof based on definition of big-$O$ Feb 6 answered Simplify triangular sum of triangular numbers: $\sum_{i=1}^{n}(\frac12i(i+1))$ Feb 1 revised $z = 1/w$ transformation for parallel lines $y = x + b$ edited the title