The problem is not homework, just something that has been bothering me. It's in picture form, in the attachment.
I'm an undergraduate in math, and this type of convergence is a bit unknown to me. What I've seen so far are normal sequences and series, and power series.
This however, is different, because there is no 'first' term, no 'beginning', so I don't really know how to approach this.
The Attempt at a Solution
The equation I've found that describes this term is:
f(x)^2 = 1 + (x^2)f(x+1)
In this case, we would be looking for f(2). However, that equation doesn't contain enough information to solve it, because there are two free variables.
Any help would be appreciated.
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