I'm having trouble understanding a simple identity and was wondering if anyone could explain it to me:(adsbygoogle = window.adsbygoogle || []).push({});

Why is it that [tex]a_{o}+a_{1}+a_{1}a_{2}+a_{1}a_{2}a_{3}+a_{1}a_{2}a_{3}a_{4}...[/tex] is equivalent to the continued fraction in the form:[tex]a_{0}+\frac{a_{1}}{1-\frac{a_{2}}{1+a_{2}-\frac{a_{3}}{1+a_{3}-...}}}}[/tex]

What then should I do to make arctan(x) look something like the above continued fraction. Any advice would be fantastic!

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# Continued Fraction problem

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