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Provide an Appropriate Response {an}\left\{ a _ { n } \right\}

question 263

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Provide an appropriate response.
-Which of the following is not a condition for applying the integral test to the sequence {an}\left\{ a _ { n } \right\} , where an=f(n) a _ { n } = f ( n ) ?
I. f(x) f ( x ) is everywhere positive
II. f(x) f ( x ) is decreasing for xNx \geq N
III. f(x) f ( x ) is continuous for xNx \geq N

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