ContinuedFraction
 Usage
• ContinuedFraction[x, n] generates a list of the first n terms in the continued fraction representation of x.
• ContinuedFraction[x] generates a list of all terms that can be obtained given the precision of x.
Notes
• The continued fraction representation { ,  ,  , ... } corresponds to the expression  . • x can be either an exact or an inexact number. • Example: ContinuedFraction[Pi, 4]  . • For exact numbers, ContinuedFraction[x] can be used if x is rational, or is a quadratic irrational. • For quadratic irrationals, ContinuedFraction[x] returns a result of the form { ,  , ... , { ,  , ... }}, corresponding to an infinite sequence of terms, starting with the  , and followed by cyclic repetitions of the  . • Since the continued fraction representation for a rational number has only a limited number of terms, ContinuedFraction[x, n] may yield a list with less than n elements in this case. • For terminating continued fractions, {... , k} is always equivalent to { ... , k-1, 1}; ContinuedFraction returns the first of these forms. • FromContinuedFraction[list] reconstructs a number from the result of ContinuedFraction. • New in Version 4.
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