Approximate the sum of each series to three decimal places. $\sum {(-1)^n {1\over {n^3}}}$ From alternating series test, this series convergence. $S\appro...

I'm not sure how to evaluate the limit as $x \rightarrow \infty $ of the following: $$ \bullet \lim_{x\to\infty}e^{-x}\cdot \log x $$ $$\bullet\lim_{...

Take a triangle $\triangle ABC$ On each pair of vertices of the triangle, place a pair of vesica pisces circles with the properties that each circle has t...

I've been playing around with plenty of variants of paraboloid equations. However I couldn't come up with the equation for a x-axis parallel 3D ...

I have been having problems with dense sets as my lecturer didn't really develop an intuition for dense sets in my class. So can any of you please he...

Prove series $$\sum\limits_{n=2}^{\infty}\frac{1}{n\ln n}$$ doesn't converge without integral test. I really don't know any hint for $\ln n$. So...

The data processing inequality theorem states that given a markov chain $W \rightarrow X \rightarrow Y $, then $ I(W;X) \ge I(W;Y) $ Does this also mean t...

If one wants to plot a variable whose value changes drastically, it makes sense to plot its order of magnitude. That way, the smaller values in the plot a...

Is there an equivalent in mathematical language to the modulo (or mod) function in computing?

I have the following set of numbers, in which I need to determine if there are any outliers: 11, 14, 21, 26, 29, 33, 61. I graphed them in Desmos (see abo...