MathDB
Problems
Contests
National and Regional Contests
Chile Contests
Chile National Olympiad
1998 Chile National Olympiad
3
3
Part of
1998 Chile National Olympiad
Problems
(1)
nested \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} (Chile NMO 1998 P3)
Source:
11/24/2021
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
+
...
.
Nested Radicals
nested radical
algebra
Radicals