The function $g(x) = 2^x$ is graphed below, along with the tangent line to the graph at $x=0$.

Use the definition of the derivative, with $h=0.01$, to estimate the value of $g'(0)$.
$g'(0) \approx$

Use the definition of the derivative, with $h=0.001$, to estimate the value of $g'(0)$.
$g'(0) \approx$

Which of the following constants appears to be closest to $g'(0)$?