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#### DreamWeaver

##### Well-known member

- Sep 16, 2013

- 337

\(\displaystyle \text{limit}_{\, \epsilon \to 0^{+}}\sqrt{\epsilon + \sqrt{\epsilon + \sqrt{ \epsilon + \sqrt{\epsilon + \cdots} } } } = 1\)

It's both obvious and yet elusive... Any ideas on how to prove it...???