Gaah.
Can someone please tell me the value of this fraction. (Pretend it goes infinitely.)
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Worked at it for five minutes and got nowhere. Where did you get this from?
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I made it up. It seems to converge to rt(3) which kind of makes sense because rt(3)=1+(1+rt(3))/(2+rt(3)) but there's a problem:
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if you set the entire thing to x then you can simplify the fraction to x = 1 + 2x/3x = 1 + 2/3 = 5/3
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This seems true at first glance,but isn’t actually. 2x is 2 + (2+...)/(3+...) not 2 + (4+...)/(6+...)
At second glance it might look like 1+(1+x)/(2+x), but it’s not that either