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Results tagged with limsup-and-liminf
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user 40793
For questions concerning limit superior and limit inferior of sequences (of real numbers and various generalizations) and also for $\limsup$ and $\liminf$ of sequences of sets.
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Comparing two limsup's
Assuming lots of stuff, just to get the ball rolling:
$$\frac{1}{f(x)}\int_{x}^{\infty}f^{2}(t)dt=\frac{1}{xf(x)}\frac{\int_{0}^{\frac{1}{x}}f^{2}(\frac{1}{t})\frac{1}{t^{2}}dt}{\frac{1}{x}}.$$
So …
- 5,474