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\( \lim _{x \rightarrow \infty } 6\cos (x-1)= \)

Ask by Flynn Salinas. in Mexico
Mar 09,2025

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El límite de \(6\cos(x-1)\) cuando \(x\) tiende a \(\infty\) no existe porque la función sigue oscilando entre \(-6\) y \(6\) sin acercarse a un valor específico.

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Bonus Knowledge

As \( x \) approaches infinity, the term \( \cos(x - 1) \) oscillates between -1 and 1. Thus, \( 6\cos(x - 1) \) will oscillate between -6 and 6. Since there's no single value that \( 6\cos(x - 1) \) approaches as \( x \) increases without bound, the limit does not exist. It will keep fluctuating infinitely between those bounds rather than converging to a specific number. So, the answer is that the limit does not exist.

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