Is the sequence (an) defined by an = n + cos(nn) for n ≥ 1 bounded (bounded above, bounded below)? Is it convergent? Is it decreasing or increasing?

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A4. Is the sequence (an) defined by an = n + cos(n) for n ≥ 1 bounded (bounded above,
bounded below)? Is it convergent? Is it decreasing or increasing?
Transcribed Image Text:A4. Is the sequence (an) defined by an = n + cos(n) for n ≥ 1 bounded (bounded above, bounded below)? Is it convergent? Is it decreasing or increasing?
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