- #1

chy1013m1

- 15

- 0

any insight to this question? .. i mean.. usually people just do up to order 2..

find the taylor polynomial of order 3 based at (x, y) = (0, 0) for the function f(x, y) = (e^(x-2y)) / (1 + x^2 - y)

how large do you have to take k so that the kth order taylor polynomial f about (0, 0) approximates f within 0.45 for

|x| < sqrt(x^2 + y^2) <= 1/10

my guess is...3rd order.. otherwise they won't be explicitly asking us to for the 3rd order?

find the taylor polynomial of order 3 based at (x, y) = (0, 0) for the function f(x, y) = (e^(x-2y)) / (1 + x^2 - y)

how large do you have to take k so that the kth order taylor polynomial f about (0, 0) approximates f within 0.45 for

|x| < sqrt(x^2 + y^2) <= 1/10

my guess is...3rd order.. otherwise they won't be explicitly asking us to for the 3rd order?

Last edited: