From 91c8b1f2d779ae4f70b4b9ab5bb85ac0e5ab0cbe Mon Sep 17 00:00:00 2001 From: Zheyuan Wu <60459821+Trance-0@users.noreply.github.com> Date: Wed, 23 Jul 2025 16:08:09 -0500 Subject: [PATCH] Update Math401_P1_3.md --- content/Math401/Math401_P1_3.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/Math401/Math401_P1_3.md b/content/Math401/Math401_P1_3.md index d290134..8421b54 100644 --- a/content/Math401/Math401_P1_3.md +++ b/content/Math401/Math401_P1_3.md @@ -191,7 +191,7 @@ $$ as $n\to \infty$. -note that $\lim_{n\to \infty}{1-\frac{a}{n}}=e^{-a}$ for any $a>0$. +note that $\lim_{n\to \infty}{(1-\frac{a}{n})^n}=e^{-a}$ for any $a>0$. $(n-\|x\|^2)^{\frac{n-k}{2}}=\left(n(1-\frac{\|x\|^2}{n})\right)^{\frac{n-k}{2}}\to n^{\frac{n-k}{2}}\exp(-\frac{\|x\|^2}{2})$