daviddoji/CalculusWithJuliaNotes.jl
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

WIP

Browse Source
This commit is contained in:
jverzani
2025-08-29 15:33:24 -04:00
parent 7c869a83ce
commit c044529cba
5 changed files with 133 additions and 5 deletions
Download Patch File Download Diff File Expand all files Collapse all files

4
quarto/limits/sequences_series.qmd
View File

@@ -254,8 +254,8 @@ p_n &= \sum_{k=0}^n \frac{1}{k!}b_{n,l}\\
&> \sum_{k=0}^n \frac{1}{k!} \cdot \left(1 - \frac{(k-1)k}{2n}\right)\\
&= s_n - \sum_{k=0}^n \frac{1}{k!}\frac{(k-1)k}{2n}\\
&= s_n - \frac{1}{2n} \sum_{k=2}^n \frac{1}{(k-2)!}\\
&= s_n - \frac{1}{2n} s_{n-2}
$> s_n - \frac{3}{2n}
&= s_n - \frac{1}{2n} s_{n-2}\\
&> s_n - \frac{3}{2n}
\end{align*}
$$