Taylor Series Function Approximation in C
Project Overview
This program implements conditional statements and loops to approximate mathematical functions using Taylor Series expansion. The user can choose to approximate one of the following functions:
- cos(x)
- sin(x)
- e^x
What is Taylor Approximation?
Taylor Approximation is a mathematical method used to approximate functions by expressing them as an infinite sum of terms calculated from their derivatives at a single point. Each term in the series provides a closer approximation, making it useful for evaluating complex functions like sin(x)\sin(x)sin(x), cos(x)\cos(x)cos(x), and exe^xex when precise computation is challenging or unnecessary.
Features
- User selection of functions to approximate.
- Input validation to ensure correct and meaningful values.
- Dynamic calculation using user-defined iterations for precision.
- Output of results showing convergence towards the approximate value.
Technical Highlights
- Programming Language: C
- Core Concepts: Loops, conditionals, input validation, and iterative calculations.
- Mathematical Focus: Taylor Series approximation for accurate computation of transcendental functions.