My Math Forum Infinite Fraction

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

July 12th, 2015, 05:04 PM   #1
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Infinite Fraction

Hey guys, I need some help with the mathematics. I calculated it using computer and it converges to 1.73202714. I'm not so sure about it because when I compute I assumed that if x become LARGE, then f(x)=1. Is my assumption correct? and is there a way to find the answer without using computer?
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Last edited by deadweight; July 12th, 2015 at 05:13 PM.

 July 12th, 2015, 06:27 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,664 Thanks: 2644 Math Focus: Mainly analysis and algebra Clearly, for all positive $x$ we have $f(x) \gt x$ because every term (everywhere) is positive.
July 12th, 2015, 08:57 PM   #3
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Quote:
 Originally Posted by v8archie Clearly, for all positive $x$ we have $f(x) \gt x$ because every term (everywhere) is positive.
How about my assumption? Is it even converge?

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