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comment Test $\sum\limits_{n=1}^{\infty} \frac{(-1)^n\ln(n)}{n}$ for convergence
Note that $\frac{1}{n^2}(1-\ln(n))<0\ $ for all $n \geqslant{3}$ and rejection of a finite number of terms does not affect the convergence
Apr
21
reviewed Approve Integral domain and ideal of ring
Apr
21
reviewed Approve Find minimal $x$ and $y$ that creates $4$
Apr
17
reviewed Approve Can dx be equal to dy?
Apr
11
comment Integral of trig fraction using substitution
You can check your integration by differentiating the answer $\sqrt{1+2\sin{x}}+c$
Apr
10
comment evaluating some limits - calculus
Use L'Hôpital's rule to prove that $\lim\limits_{t\to+\infty}\dfrac{e^t}{\ln{t}}=+\infty.$
Apr
5
reviewed Reject Does there exist an analytic function s.t. $f\left(\frac{1}{n}\right)=2^{-n}.$
Apr
4
reviewed Approve Question about Karp reduction
Mar
31
revised Physically impossible to find the constant
added 155 characters in body
Mar
31
comment Physically impossible to find the constant
In general, the antiderivative of periodic function is not necessarily periodic. For example, the function $f(x)=1+\sin{x}$ is periodic, but its antiderivative $F(x)=x-\cos{x}$ isn't.
Mar
30
reviewed Approve GCD to LCM of multiple numbers
Mar
30
answered Physically impossible to find the constant
Mar
30
reviewed Approve An example of centrally symmetric unbounded set in $\mathbb{R}^2$ which is convex?
Mar
30
comment $\lim_{n\to\infty}\left(\frac{\log(n+1)}{\log n}\right)^{n}=1$
@John Nicholson: Thanks, you are right. Edited. It was a mechanical mistake; the next lines are correct.
Mar
30
revised $\lim_{n\to\infty}\left(\frac{\log(n+1)}{\log n}\right)^{n}=1$
deleted 2 characters in body
Mar
24
reviewed Approve Solve the Integral Equation Involving Laplace Transforms
Mar
24
reviewed Approve Recurrence relation of $T(n) = T(n^\frac13) + \log n$
Mar
23
reviewed Approve Two kind of equations involving natural log and exponentiation
Mar
22
reviewed Approve Check if a point is inside a rotated 2D NACA 0012 airfoil
Mar
18
reviewed Approve Prove that if $A$ is an $n\times n$ matrix and $AB=AC$ implies that $B=C$, then $A$ is invertable.