For questions related to the rate of convergence (or the order of convergence). The rate of convergence of a convergent sequence are quantities that represent how quickly the sequence approaches its limit.
In numerical analysis, the rate (or order) of convergence of a convergent sequence is a quantity that represents how quickly the sequence approaches its limit. A sequence $(x_{n})$ that converges to $x^{*}$ is said to have order of convergence $q \geq 1$ and rate of convergence $\mu$ if
$\displaystyle \lim _{n\rightarrow \infty }{\frac {\left|x_{n+1}-x^{*}\right|}{\left|x_{n}-x^{*}\right|^{q}}}=\mu .$
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