Category:Examples of Use of Hero's Method
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This category contains examples of use of Hero's Method.
Let $a \in \R$ be a real number such that $a > 0$.
Let $x_1 \in \R$ be a real number such that $x_1 > 0$.
Let $\sequence {x_n}$ be the sequence in $\R$ defined recursively by:
- $\forall n \in \N_{>0}: x_{n + 1} = \dfrac {x_n + \dfrac a {x_n} } 2$
Then $x_n \to \sqrt a$ as $n \to \infty$.
Pages in category "Examples of Use of Hero's Method"
The following 3 pages are in this category, out of 3 total.