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1998 Chile National Olympiad
3
nested \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} (Chile NMO 1998 P3)
nested \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} (Chile NMO 1998 P3)
Source:
November 24, 2021
Nested Radicals
nested radical
algebra
Radicals
Problem Statement
Evaluate
1
+
2
1
+
3
1
+
4
1
+
.
.
.
\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}}
1
+
2
1
+
3
1
+
4
1
+
...
.
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