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The document deals with the study of real functions, particularly the function f(x) = x + ln(x) and its properties, including continuity, growth, and the uniqueness of solutions to associated equations. It demonstrates that the equation f(x) = n has a unique solution in R+ and that the sequence (un) defined by these solutions is strictly increasing. The document also addresses exercises on the continuity and differentiability of functions, as well as properties of real sequences.

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ScribdTranslations

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EN