Symbolics > Working with Symbolics > Calculus > To Write the Continued Fraction Expansion for a Number or Function
  
To Write the Continued Fraction Expansion for a Number or Function
Place the cursor at the end of a number or function, insert the symbolic evaluation operator, and type the keyword confrac. PTC Mathcad returns the answer as a column vector.
The column vector represents the following continued fraction:
PTC Mathcad returns a column vector when you apply the confrac keyword to an expression containing only numbers, but it returns a two-column matrix if the expression contains a variable.
To return the answer as a fraction rather than as a vector, use the modifier fraction.
By default, PTC Mathcad returns enough terms of the continued fraction so that the result is accurate to within 10 significant digits. You can specify a different accuracy for the result by typing a comma after confrac followed by a positive integer for the number of significant digits.
Get the continued fraction expansion of the constant π:
Column Vector
Continued Fraction
Click to copy this expression
Click to copy this expression
Click to copy this expression
Click to copy this expression
To return the answer as a matrix with two columns in which the second column contains the partial numerators of the continued fraction, use the modifier matrix.
Click to copy this expression
Get the continued fraction expansion for the Taylor series:
Column Vector
Continued Fraction
Click to copy this expression
Click to copy this expression
Click to copy this expression
Click to copy this expression