Basic Formulae
A finite continued fraction is an expression of the form
where a0 is an integer, all other ai are positive integers, and n is a non-negative integer.
Thus, all of the following illustrate valid finite continued fractions:
| Formula | Numeric | Remarks |
|---|---|---|
| All integers are a degenerate case | ||
| Simplest possible fractional form | ||
| First integer may be negative | ||
| First integer may be zero |
An infinite continued fraction can be written as
with the same constraints on the ai as in the finite case.
Read more about this topic: Continued Fraction
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