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Martin Sleziak
Martin Sleziak
8:50 AM
-4
Q: Finding the limit of the sequence

Laughing monkey I could find the range of limit but not the exact limit.

sequences-and-series limits nested-radicals
I think it would have been better to close this as a duplicate of:
13
Q: $\sqrt{c+\sqrt{c+\sqrt{c+\cdots}}}$, or the limit of the sequence $x_{n+1} = \sqrt{c+x_n}$

cnuulhu(Fitzpatrick Advanced Calculus 2e, Sec. 2.4 #12) For $c \gt 0$, consider the quadratic equation $x^2 - x - c = 0, x > 0$. Define the sequence $\{x_n\}$ recursively by fixing $|x_1| \lt c$ and then, if $n$ is an index for which $x_n$ has been defined, defining $$x_{n+1} = \sqrt{c+x_n}$$ Prove ...

calculus sequences-and-series limits faq nested-radicals
What should one do in such situations? Should the question be reopened and then closed again as a duplicate? (There are some problems with this plan; IIRC you can't vote twice to close the same question.)
Was this discussed somewhere (chat, meta)?
I mean whether the question what to do with duplicates which were closed for lack of context (or some other reason) was discussed somehwere.
 

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