Consider-f-x-xe-1-1-x-2-Find-3-real-numbers-a-b-and-c-such-that-f-x-can-be-written-in-the-form-ax-b-c-x-1-x-x-where-lim-x-x-0-

Question Number 99262 by Ar Brandon last updated on 19/Jun/20

Consider f (x) = {xe}^{\frac{1}{1 - x^{2}}}

Find 3 real numbers a, b, and c such that

f (x) can be written in the form ax + b + \frac{c}{x} + \frac{1}{x} ξ (x)

where \lim_{x \to \pm \infty} ξ (x) = 0