This calculator allows you to compute the Taylor series expansion of a given function around a specified point. Ideal for students, educators, and math enthusiasts looking to explore calculus concepts.
Taylor Series Calculator
Results
Taylor Series:
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Data Source and Methodology
All calculations are based on standard mathematical formulas as detailed in calculus textbooks and verified by academic sources.
The Formula Explained
The Taylor series expansion of a function f(x) around a point a is given by:
f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + ...
Glossary of Terms
- Function: The mathematical expression to be expanded.
- Point of Expansion: The value around which the series is expanded.
- Number of Terms: The number of terms of the series to compute.
Frequently Asked Questions (FAQ)
What is a Taylor series?
A Taylor series is an infinite sum of terms calculated from the values of a function's derivatives at a single point.
How do I choose the number of terms?
The more terms you include, the more accurate your approximation will be, but it might also be more complex to compute.