![]() ![]() In essence, this lesson will allow us to see how well our Taylor Polynomials approximates a function, and hopefully we can ensure that the error is minimal (small). Lagrange Error Bound (i.e., Taylor’s Remainder Theorem).Well, in this lesson we will learn that there are three different types of Error: How to integrate and evaluate a Taylor Seriesīut in all Taylor or Maclarin Series, there will always be some form of error involved simply because we are not generating a polynomial that has an infinite number of terms.Find specific terms and/or coefficients.How to take derivatives of these Taylor Polynomials.We discovered how we can quickly use these formulas to generate new, more complicated Taylor Polynomials easily. We also learned that there are five basic Taylor/Maclaurin Expansion formulas. In our previous lesson, Taylor Series, we learned how to create a Taylor Polynomial (Taylor Series) using our center, which in turn, helps us to generate our radius and interval of convergence, derivatives, and factorials. ![]()
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