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Limit

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Tolaso J Kos
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Limit

#1

Post by Tolaso J Kos » Thu Jul 14, 2016 1:09 pm

Let \( f(x) \) be a striclty decreasing function of a zero limit. Prove that the limit of the integral of the function minus the sum of the function (the limit is to be taken as \( n \rightarrow +\infty \)) exists and equals at most \( f(1) \).
Imagination is much more important than knowledge.
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