Math Problem Statement
Let S={2-(1/n^2) : n is an element of N}. Find sup S. Give a proof.
Solution
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Math Problem Analysis
Mathematical Concepts
Real Analysis
Limits
Supremum
Formulas
\lim_{n \to \infty} (2 - \frac{1}{n^2})
2 - \frac{1}{n^2} < 2
Theorems
Supremum Property
Limit of a Sequence
Suitable Grade Level
Grades 11-12