From ae78d403b38c9713c550b2b3d34a3cf2e02b76d4 Mon Sep 17 00:00:00 2001
From: Evan Chen <evan@evanchen.cc>
Date: Wed, 10 Apr 2024 18:47:36 -0400
Subject: [PATCH] fix(taylor): typo, (p-R,P+R) instead of (-R,R)

---
 tex/calculus/taylor.tex | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/tex/calculus/taylor.tex b/tex/calculus/taylor.tex
index 0df1c7ad..578107e8 100644
--- a/tex/calculus/taylor.tex
+++ b/tex/calculus/taylor.tex
@@ -271,9 +271,9 @@ \section{Analytic functions}
 	\begin{itemize}
 		\ii the Taylor series of $f$ at $p$ has radius of convergence $R > 0$; \emph{and}
 		\ii that Taylor series actually does converge to the value $f(x)$
-		for every input $x \in (-R,R)$ within the radius of convergence.
+		for every input $x \in (p-R,p+R)$ within the radius of convergence.
 	\end{itemize}
-	Then $f$ is analytic on $(-R, R)$.
+	Then $f$ is analytic on $(p-R, p+R)$.
 	\label{prop:taylor_series_are_analytic}
 \end{proposition}
 This result is nontrivial because \emph{a priori} we only know $f$ is analytic at $p$;