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Let g(n)=n−⌊n2⌋+⌊n3⌋−⌊n4⌋+⋯ .g(n) = n - \big \lfloor \frac{n}{2} \big \rfloor+ \big \lfloor \frac{n}{3} \big \rfloor - \big \lfloor \frac{n}{4} \big \rfloor + \cdots.g(n)=n−⌊2n⌋+⌊3n⌋−⌊4n⌋+⋯.
Evaluate limn→∞g(n)n. \displaystyle \lim_{n \to \infty}\frac{g(n)}{n}.n→∞limng(n).
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