About Tier 5 - Singularity
The highest challenge tier, usually requiring deep or non-obvious reasoning.
Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.
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Roots All the Way Down
Algebra / Algebra and Limits - 5-10 min
Using real, non-negative square roots, find the real value of for which the two infinite radicals below add up to . Both radicals are understood as limits of their finite versions.
Assumptions
Each infinite radical means the limit of its finite nested radicals. Both limits are assumed to exist.
More Options for Roots All the Way Down
Collection question · Revision 1 · ID: nested-roots