Question

The non-degenerate kernel k(x,t) is approximated for a kernel by a degenerate which is expressed for partial sum of a) Taylor series b) Maclaurin series c) Taylor or others d) binomial series​

Answer 1

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king with Taylor Series

Last updatedDec 21, 2020

1.3E: Exercises

1.4E: Exercises

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Table of contents

In the preceding section, we defined Taylor series and showed how to find the Taylor series for several common functions by explicitly calculating the coefficients of the Taylor polynomials. In this section we show how to use those Taylor series to derive Taylor series for other functions. We then present two common applications of power series. First, we show how power series can be used to solve differential equations. Second, we show how power series can be used to evaluate integrals when the antiderivative of the integrand cannot be expressed in terms of elementary functions. In one example, we consider ∫e−x2dx, an integral that arises frequently in probability theory.