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IKMC 2027 - Grades 11-12 - Self-study SET 5 - Thematic Batch 3 Question 7

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 5 - Thematic Batch 3

Question 7

What is the value of the infinite continued fraction $1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cdots}}}$?

Question illustration
  1. 1/2
  2. ($\sqrt{5}$ + 1)/2
  3. $\sqrt{2}$/2
  4. ($\sqrt{6}$ − $\sqrt{2}$)/2
  5. $\sqrt{3}$/2