Let $T_{4}(x)$: be the Taylor polynomial of degree 4 of the function $f(x) = \ln(1+x)$ at $a = 0$.
Suppose you approximate $f(x)$ by $T_{4}(x)$, find all positive values of x for which this approximation is within 0.001 of the right answer. (Hint: use the alternating series approximation.)

$0 < x \leq$