Let $f$ be a function that's defined on an open interval that includes the point $0.0028$ on the $x$-axis. The following table gives some values of $f$ at points on this interval:

x	0.0026	0.0027	0.0028	0.0029	0.003
f(x)	0.00260676	0.00270729	0.00280784	0.00290841	0.003009

Assume $f$ is continuous at $0.0028$, and the values in the table are typical values of $f$ so the graph of $f$ does not wiggle around wildly between consecutive points on the table but instead stays fairly close to the line that connects them.

Use the table to find a good approximation of the largest $\delta$ so that $\vert f(x)-f(0.0028)\vert <0.00027$ when $\vert x-0.0028\vert < \delta$.
$\delta =$

To obtain more precise information about the value of $f$ near $0.0028$ enter a new increment value for $x$ here and then press the Submit Answer button.

Your answer must be within $1\times 10^{-5}$ of the correct answer.