sxsyfei
幼苗
共回答了18个问题采纳率:83.3% 举报
Will function expansion into power series, from the form, as if the complicate the problem, but as referred to in the preceding paragraph shall be part of the power series and polynomial, and polynomial is one of the most simple function, therefore using power series instead of a function, actually create the conditions for the polynomial approximation function. It is for this reason, has a function of the power series expansion, a wide range of applications. For example: the function value of the definite integral approximate calculation, calculation of some approximation. For approximate calculation function value with a power series, the idea and before using differential approximation formula and Taylor formula approximate evaluation of similar ideas. With power series approximate calculation of definite integral, especially in some of the integrand function cannot be expressed in elementary function, more show the superiority of power series method. The application of the exponential function of complex variable, power series expansion of instructions in mathematics important formation and derivation of euler's formula.
In this paper, based on the research of the convergence range of the power series, and through comparison discriminant method of power series further understanding of power series, and familiar with for special cases, the use of the power series discriminant method.
1年前
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