Category:Simple Infinite Continued Fraction is Uniquely Determined by Limit

This category contains pages concerning Simple Infinite Continued Fraction is Uniquely Determined by Limit:

Let $\sequence {a_n}_{n \mathop \ge 0}$ and $\sequence {b_n}_{n \mathop \ge 0}$ be simple infinite continued fractions in $\R$.

Let $\sequence {a_n}_{n \mathop \ge 0}$ and $\sequence {b_n}_{n \mathop \ge 0}$ have the same limit.

Then they are equal.