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There's a Limit
Age 14 to 18
Challenge Level 
Explore the continued fraction:
What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?
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Good Approximations
Solve quadratic equations and use continued fractions to find rational approximations to irrational numbers.
Not Continued Fractions
Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?
