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Christian Lawson-Perfect @christianp

Very pleasing puzzle from Dan Asimov:
Define a function f : [0,∞) → ℝ via
$f(x) = \sqrt{1+x\sqrt{1+(x+1)\sqrt{1+(x+2)\sqrt{1+\ldots}}}}$

Evaluate f(x) in closed form.

· Web · 0 · 0

@christianp Can't see the entire expression, need to comment to see the raw LaTeX in the text.

But ... hmmm ...

@ColinTheMathmo I should put some kind of scrolling on maths in toots.

@christianp Would that be hard?

@ColinTheMathmo nah, just a CSS rule

@christianp @ColinTheMathmo CSS is my very definition of "hard". Browser compat means the rules can change depending on who's looking at it. I mean imagine if the + sign was what some countries used for a -.

@jsmall @christianp There is a little of that - in France they think that 0 is both positive *and* negative.