Problem 55775. Taylor Series

Created by Renee Coetsee

Solve Later

You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is 
Using only the first several terms in the series could get you a good approximation to the function. 
Write a function that takes a point x at which to evaluate the sine function and a tolerance level that defines how close you want the Taylor series approximation to be to the actual value. Your function should output the approximate value of sin(x).

Solve

Solution Stats

632 Solutions
164 Solvers

Last Solution submitted on Apr 09, 2025

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Rafael S.T. Vieira on 30 Oct 2022

Using sin(x) to test the tolerance level is probably inadequate. We should be testing how much a new term improved the solution compared to the previous one. If we calculate sin(x) there is no need to use the Taylor series.

Ricardo on 3 Feb 2023

You are right. I made a solution with the remainder of Lagrange for error estimation. I avoided the sin(x) usage for comparing approximation and real values.

Solution Comments

Show comments

Problem Recent Solvers164

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 55775. Taylor Series

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers164

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Problem 55775. Taylor Series

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers164

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Players