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The roots are $ x = 1 $ (with multiplicity 2) and $ x = -2 $. Therefore, there are **two distinct real roots**, but **three real roots counting multiplicity**. Since the question asks for the number of real roots (not distinct), the answer is:
Question: A zoologist studying social behavior models the interaction between two animals with the function $ I(u) = u - \frac{u^3}{9} $. If $ n $ is a positive integer, define $ x_n $ as the value of $ u $ such that $ I(x_n) = \frac{1}{n} $. Find $ \lim_{n \to \infty} x_n $.
Solution: We are given $ I(u) = u - \frac{u^3}{9} $, and $ I(x_n) = \frac{1}{n} $. So:

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