Question

If \[x=a^{n}\] then relative error is (where n is a power of a) ______.

Options

• \[\frac{\Delta\mathrm{a}}{\mathrm{a}}+\mathrm{n}\]

• \[\mathrm{n\frac{\Delta a}{a}}\]

• \[\frac{\Delta\mathbf{a}}{\mathbf{a}}-\mathbf{n}\]

• \[\frac{\Delta a}{\mathrm{na}}\]

Answer 1

If \[x=a^{n}\] then relative error is (where n is a power of a) \[\mathrm{n\frac{\Delta a}{a}}\].