From 1a1f0597e107cf1042511eb853f14524777a847e Mon Sep 17 00:00:00 2001
From: Terrell <tet12002@ad.engr.uconn.edu>
Date: Thu, 5 Oct 2017 20:03:55 -0400
Subject: [PATCH] added convergence table

---
 README.md | 19 ++++++++++++++-----
 1 file changed, 14 insertions(+), 5 deletions(-)

diff --git a/README.md b/README.md
index 5ac3b87..8e06c99 100644
--- a/README.md
+++ b/README.md
@@ -4,7 +4,7 @@ ME3255 HW2
 
 #Problem 2
 
-Part A
+###Part A
 
 ```MatLab
 function [root,fx,ea,iter]=bisect(func,xl,xu,es,maxit,varargin)
@@ -119,7 +119,7 @@ end
 root = xr;
 ```
 
-Part B
+###Part B
 
 | solver | initial guess(es) | ea | number of iterations|
 | --- | --- | --- | --- |
@@ -127,7 +127,7 @@ Part B
 |mod_secant | 100,1000 | 5.9066e-06 | 24 |
 |bisect     | 100,1000 | 4.1212e-06 | 8 |
 
-Part C
+###Part C
 
 ```MatLab
 cat_cable = @(T) T/10.*cosh(10./T*30)+30-T/10-35;
@@ -152,7 +152,6 @@ print('figure01','-dpng')
 
 #Problem 3
 
-```
 ### Divergence of Newton-Raphson Method
 
 | iteration | x_i | approx error |
@@ -163,4 +162,14 @@ print('figure01','-dpng')
 | 3 | 3.7422 | 5.7348 |
 | 4 | 3.9375 | 4.9605 |
 | 5 | 4.1182 | 4.3873 |
-```
+
+### Convergence of Newton-Raphson Method
+
+| iteration | x_i | approx error |
+| --- | --- | --- |
+| 0 | 1.2 | n/a |
+| 1 | 0.9826 | 22.1239 |
+| 2 | 1.0000 | 1.7402 |
+| 3 | 1.0000 | 0.0011 |
+| 4 | 1.0000 | 0.0000 |
+| 5 | 1.0000 | 0.0000 |