What is a Taylor series?
Q: What is a Taylor series?
A: A Taylor series is an idea used in computer science, calculus, chemistry, physics, and other kinds of higher-level mathematics. It is a series that is used to create an estimate (guess) of what a function looks like.
Q: What is the difference between Taylor series and Maclaurin series?
A: There is also a special kind of Taylor series called a Maclaurin series.
Q: What is the theory behind the Taylor series?
A: The theory behind the Taylor series is that if a point is chosen on the coordinate plane (x- and y-axes), then it is possible to guess what a function will look like in the area around that point.
Q: How is the function created using Taylor series?
A: This is done by taking the derivatives of the function and adding them all together. The idea is that it is possible to add the infinite number of derivatives and come up with a single finite sum.
Q: What does a Taylor series show in mathematics?
A: In mathematics, a Taylor series shows a function as the sum of an infinite series. The sum's terms are taken from the function's derivatives.
Q: Where do Taylor series come from?
A: Taylor series come from Taylor's theorem.
Q: In which fields is the Taylor series commonly used?
A: The Taylor series is commonly used in computer science, calculus, chemistry, physics, and other kinds of higher-level mathematics.
