A Fun Limit: relationship between (n!)^(1/n) and n
Relationship between $(n!)^{\frac{1}{n}} and n$
convergence of sum of sin(aknx)/n
Talk about the convergence of the sum of $\sum_{n=1}^{\infinity} \frac{sin(anx)}{x}$
x > sinx: Three ways of proving
More information can be found here: A Chinese Platform: How to prove \(sin(x) < x\) regiously? Math.stackexchange: Sine inequality: How to prove that \(|sin(𝑥)|≤|𝑥|\)
Metric in L^p
Metric in L^p This is a note for proof of \[ \left[ \int _{a}^{b}\left| f\left( x\right) \right| ^{p}dx\right]^{\frac{1}{p}} \] is a norm of \(L^p\) space. Here is the structure of the whole proof (se