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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