Given the following table:

 x 0.0026 0.0027 0.0028 0.0029 0.003 f(x) 0.00260676 0.00270729 0.00280784 0.00290841 0.003009
Use the table to find 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 $1e-05$ of the correct answer.