$0 \leq a\leq \frac{1}{4}$
$a_{1} = a,$ $a_{n+1} = a + (a_{n})^{2}$
I have to prove that the sequence has a limit, and to find the limit $a_{n}$.
Actually, I have no idea what to do.
I just know that the sequence is monotonic increasing, and I dont know why, i think that the lim is $a$.
Thanks.
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