From a403d0b5332d7fdf5f73d2d23c1a7b06018e3c1f Mon Sep 17 00:00:00 2001
From: Smit-create <smitlunagariya.mat18@itbhu.ac.in>
Date: Sun, 28 Aug 2022 20:32:46 +0530
Subject: [PATCH] Fix Taylor series about g=0

---
 lectures/geom_series.md | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/lectures/geom_series.md b/lectures/geom_series.md
index 010c251e4..a6fafae36 100644
--- a/lectures/geom_series.md
+++ b/lectures/geom_series.md
@@ -626,7 +626,7 @@ $$
 Similarly, applying the Taylor series to $G^{T+1}$ about $g=0$:
 
 $$
-(1+g)^{T+1} = 1+(T+1)g(1+g)^T+(T+1)Tg^2(1+g)^{T-1}+\dots \approx 1+ (T+1)g
+(1+g)^{T+1} = 1+(T+1)g+\frac{T(T+1)}{2!}g^2+\frac{(T-1)T(T+1)}{3!}g^3+\dots \approx 1+ (T+1)g
 $$
 
 Thus, we get the following approximation:
@@ -920,4 +920,3 @@ plt.show()
 Notice here, whether government spending increases from 0.3 to 0.4 or
 investment increases from 0.3 to 0.4, the shifts in the graphs are
 identical.
-