A Fun Golden Ratio Limit
We evaluate the limit as n tends to infinity of sin(ϕ^n π). You may also enjoy: "Why Is This Almost An Integer?" • Why Is This Almost An Integer? 00:00 Intro 00:27 Powers of ϕ 04:14 Evaluating the limit

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The Simple Rule that BREAKS Mathematics

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x=x+1 has absolutely no solutions, how about sqrt(x)=x+1?

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A Beautiful Proof of a Beautiful Inequality

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How Divergence and Curl Were Discovered

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Bigger than Graham's Number? The innocent-looking n(k) function

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He Once Worked at Subway. At 58, He Solved An "Impossible" Problem

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The Strangest Things that Correlate with IQ

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I Was Right About AI

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the integral that breaks Feynman's trick

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Derivatives Aren't What You Think They Are

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This Calculus Problem Looks Impossible

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A trick I have ignored for long enough...

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The History of the Largest Mushroom Islands in Minecraft.

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An Insanely Hard System | P638

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A Hyperbolic Take on the Fibonacci Sequence

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a crazy iterated limit.

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The Million Dollar Equation No One Can Solve

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The Greatest Unsolved Problem In Mathematics

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The hidden logic behind #, @, & and §

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