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