From 9d3ced22f7363af083aa82a7129ed1203957737c Mon Sep 17 00:00:00 2001
From: syn <isaqtm@gmail.com>
Date: Tue, 4 Feb 2020 10:43:26 +0300
Subject: Couple fixes

---
 dm-14.tex | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

(limited to 'dm-14.tex')

diff --git a/dm-14.tex b/dm-14.tex
index cb48628..313e693 100644
--- a/dm-14.tex
+++ b/dm-14.tex
@@ -21,7 +21,7 @@
 \twocolumn
 \begin{center} \textbf{1} \end{center}
 
-    По условию, $\expected{\text{prize}} = 40$
+    По условию, $\expected{\textrm{prize}} = 40$
     Значит,
     \[
         \expected{\text{prize} \geqslant 5000} \leqslant \frac{40}{5000} < 0.01
@@ -104,8 +104,8 @@
         A_n = \frac{(100n)!}{(99n)! (100n)^n} &=\\
         \frac{99n + 1}{100n} \cdot \ldots \cdot \frac{99n + n}{100n} &=\\
         \frac{99n + 1}{100n} \cdot \ldots \cdot \frac{99n + \frac{n}{2}}{100n} \cdot Q_n &\leqslant \qquad\qquad Q_n < 1\\
-        \braced{ \frac{99n + \frac{n}{2}}{100n} }^{\frac{n}{2}} Q_n =
-        \braced{ \frac{99.5}{100} }^{\frac{n}{2}} Q_n = B_n
+        \br{ \frac{99n + \frac{n}{2}}{100n} }^{\frac{n}{2}} Q_n =
+        \br{ \frac{99.5}{100} }^{\frac{n}{2}} Q_n = B_n
     \end{flalign*}
     $\displaystyle \lim_{n \to \infty} B_n = 0$, а так как $0 < A_n \leqslant B_n$, то 
     $\displaystyle \lim_{n \to \infty} A_n = 0$, что и требовалось
-- 
cgit v1.2.1-18-gbd029

