ContinuedFractionK

ContinuedFractionK[f,g,{i,imin,imax}]

represents the continued fraction .

ContinuedFractionK[g,{i,imin,imax}]

represents the continued fraction .

Details and Options

Examples

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Basic Examples  (2)

A simple continued fraction:

The ^(th) convergents of a continued fraction:

Options  (1)

GenerateConditions  (1)

Generate conditions required for the continued fraction to converge:

Properties & Relations  (2)

A continued fraction can be constructed as a ratio of solutions to a second-order recurrence equation:

A continued fraction is the ratio of two linearly independent solutions:

ContinuedFractionK and FromContinuedFraction are reciprocals of one another:

Possible Issues  (1)

Continued fractions may not be convergent:

Neat Examples  (1)

Create a gallery of continued fractions:

Introduced in 2008
 (7.0)