Nażysław Zbyłutowicz
  • Member for 4 years, 11 months
  • Last seen more than 4 years ago
  • XI centry Poland
What is the limit of $ln(ln(ln(...)))$ for successive compositions of $ln$ with itself?
2 votes

Observe the following: $y = ln(ln(ln...))) \implies y = ln(y)$ does that equation have a solution? No.

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Find the maximum distance between $y= x + \sin x$ and $y = x$ on $[0,\pi]$?
1 votes

$y = x + sin(x)$ so $\frac{dy}{dx} = 1 + cos(x)$. The maximum value wrt. $y=x$ will occur where the tangent line has slope of $1$. $1 + cos(x) = 1$ yields $x = \frac{\pi}{2}$ and the corresponding $...

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