Consider the function

$f(x)=\frac{\sqrt[\phantom{2}]{4+x}-2}{x}.$

Use six significant digits $($rounding$)$ at each step to calculate $f(x)$ for $x=0\mathrm{.}001.$ Use python to

calculate $f(x)$ and consider this as true value, and calculate relative error due to the rounding.

Is there other way to evaluate the function using six digit $($rounding$)$ that reduces the error? Show the

calculation.