Let f(x)=ln(1+x), expanded about a=0, be used to approximate f(0.6) with a degree-n polynomial. For 0≤x≤0.6, it can be shown that ∣f(n+1)(c)∣≤10n! for the relevant c. Determine the smallest integer n that guarantees the absolute error is less than 1.0×10−7; include a short statement verifying the bound is satisfied.