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The Root of the Problem: The Sequel

Algebra Level 2

Solve for \(x\):

\[x = \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+5\sqrt{1+\cdots}}}}}\]

Note: If you think you know this problem so well, try this.

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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

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including olympiad champions, researchers, and professionals.

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by Deva Craig

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