Question

Approximate further to a linear form at x~0, I am lost at this step

Answer 1

\[y(x) \approx \frac {x} {x(1+x)}\]

Answer 2

\[\approx \frac {x}{x(1+x)} + \frac {x(x-2)}{2(x+x^2)^2} \times (X-x) \approx {x \over x}+\frac {x(-2)}{2x^4}\times (X-x) \approx 1 - X\]

Answer 3

Is this how its supposed to be done?

Answer 4

\[y(x)=\frac{x}{x(1+x)}=\frac{1}{1+x}\]

Answer 5

= 1 - x

so simple, can't believe I spend an hour on it :(