Problem 3 Notice that tan(1) = π/4, this means we can calculate π by using 4 × arctan(1) So this means that if we find Taylor series expansion of arctan(x) around x = 0, then we can calculate π to any accuracy we want. 3.1) Find taylor expansion of arctan for 3 non-zero terms. If you forgot, 1 3.2) Guess the rest of the terms 1 ༤༤ 1 arctan(2) = 1 + x² 3.3) Calculate π using taylor approximation for 200 non-zero terms. (you must write some sort of for loop to do it). 1 Python Python Python
Problem 3 Notice that tan(1) = π/4, this means we can calculate π by using 4 × arctan(1) So this means that if we find Taylor series expansion of arctan(x) around x = 0, then we can calculate π to any accuracy we want. 3.1) Find taylor expansion of arctan for 3 non-zero terms. If you forgot, 1 3.2) Guess the rest of the terms 1 ༤༤ 1 arctan(2) = 1 + x² 3.3) Calculate π using taylor approximation for 200 non-zero terms. (you must write some sort of for loop to do it). 1 Python Python Python
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
%matplotlib inline
import numpy as np
from matplotlib import pyplot as plt
import math
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education