ECO 3145 Lecture 4: Lecture 4.pdf
15 Jun 2014
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9. 5: introduction as demonstrated in the previous lecture, some functions may be defined implicitly but not have a closed-form solution in such cases, it might be useful if an approximate form of the function could be found. Taylor series provide a means of approximating a function, regardless of form, with a polynomial function, provided certain conditions are met. What happens to the approximation as x approaches the expansion point? using both the first and second-order using both the first and second-order. Functions of several variables consider a function defined on domain consider a points second-order taylor expansion: Approximation of an implicit function it is straightforward to use a taylor series to approximate an implicit function example: consider the function. We know from lecture 3 that this function implicitly defines y as a function of x approximate the implicit function using a taylor series.
