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