Time Travel, Quantum Entanglement and Quantum Computing

Not only is the Universe stranger than we think, it is stranger than we can think…Hiesenberg

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Let f : R + R be continuous, with 00 s_, If(x)l dx < o. Show that there is a sequence (x,,) such that x, -+ 00, x, f (x,) 4 0, and x, f(-xc,) 4 0 as n -+ o.

June 12, 2024 Let f : R + R be continuous, with 00 s_, If(x)l dx < o. Show that there is a sequence (x,,) such that x, -+ 00, x, f (x,) 4 0, and x, f(-xc,) 4 0 as n -+ o.2024-09-09T18:29:54+00:00 Pure Math
Let f : R + R be continuous, with 00 s_, If(x)l dx < o. Show that there is a sequence (x,,) such that x, -+ 00, x, f (x,)…
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Given conditions: lim ⁑ 𝑑 β†’ π‘Ž 𝑔 ( 𝑑 ) = 𝑏 lim tβ†’a ​ g(t)=b lim ⁑ π‘₯ β†’ 𝑏 𝑓 ( π‘₯ ) = 𝑐 lim xβ†’b ​ f(x)=c To prove: lim ⁑ 𝑑 β†’ π‘Ž 𝑓 ( 𝑔 ( 𝑑 ) ) = 𝑐 lim tβ†’a ​ f(g(t))=c

June 12, 2024 Given conditions: lim ⁑ 𝑑 β†’ π‘Ž 𝑔 ( 𝑑 ) = 𝑏 lim tβ†’a ​ g(t)=b lim ⁑ π‘₯ β†’ 𝑏 𝑓 ( π‘₯ ) = 𝑐 lim xβ†’b ​ f(x)=c To prove: lim ⁑ 𝑑 β†’ π‘Ž 𝑓 ( 𝑔 ( 𝑑 ) ) = 𝑐 lim tβ†’a ​ f(g(t))=c2024-09-09T18:30:00+00:00 Pure Math
Given conditions: lim⁑tβ†’ag(t)=b\lim_{t \to a} g(t) = blimtβ†’a​g(t)=b lim⁑xβ†’bf(x)=c\lim_{x \to b} f(x) = climxβ†’b​f(x)=c To prove: lim⁑tβ†’af(g(t))=c\lim_{t \to a} f(g(t)) = climtβ†’a​f(g(t))=c Using the definition of the limit: lim⁑tβ†’ag(t)=b\lim_{t \to…
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