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SEAMO 2027 - Paper D - SET 04 - Self-study Question 25

SEAMO · SEAMO 2027 - Paper D - SET 04 - Self-study

Question 25

Evaluate the infinite nested radical
$$\sqrt{1+2\sqrt{1+2\sqrt{1+2\sqrt{1+\cdots}}}}.$$
  1. $\sqrt2$
  2. $\sqrt3$
  3. 2
  4. $1+\sqrt2$
  5. None of the above