Define the system by: $$ \lim_{n\to \infty} f_n(x) = e^{x} \\ f_n(x) = f(xf_{n-1}(\frac{x}{n})) \\ f(x) = f_0(x) $$ How many solutions $f$ are there?
The solution set is nonempty. Take $f(x) = 1 + x$.
Is this solution unique?
2026-03-31 22:28:28.1774996108
How many solutions does this recursive system have?
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