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The Root of the Problem: The Sequel

Algebra Level 3

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.

Used and loved by over 6 million people

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including olympiad champions, researchers, and professionals.

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by Deva Craig

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