David Angell, Chris Angstmann, Peter Brown, Michael Cowling, David Crocker, Bruce Henry (Director), David Hunt, Tyrone Liang, Adrian MirandaProblem 1The infinite nested radical $$c=\sqrt{1+2\sqrt{1+2\sqrt{1+2\sqrt{1+2\sqrt{\ldots}}}}}$$ converges. Find $c$. Solution 1 Note that if \( c=\sqrt{1+2\sqrt{1+2\sqrt{1+2\sqrt{\ldots}}}} \) Click here to download the PDF file