How to prove, by induction, that an infinitely nested radical is increasing
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$\sqrt{c+\sqrt{c+\sqrt{c+\cdots}}}$, or the limit of the sequence $x_{n+1} = \sqrt{c+x_n}$
147920
Infinite powering by $i$
75329
Use induction to prove that $F_n \ge \sqrt 2 ^n$ for $n \ge 6$
134588
Seeking a direct proof about nested inclusions
31900
Induction on Real Numbers
115435
Induction: prove using congruences
108698
proof using the mathematical induction
138683
Proving $\prod_{i=2}^{i=n} \left(1-\frac{1}{i^2}\right) = \frac{n+1}{2n}$ by induction
38635
How to prove that the matrix $A^k$ approaches $0$ as $k$ approaches infinity
38379
Showing that $e^z=z$ has infinitely many solutions
32950
Fake induction proofs
138752
Prove the Radical of an Ideal is an Ideal
29717
Not sure how to go about this group theory proof
59280
Need help with Proof by Strong Induction question
49299
Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.
100048
Got stuck in proving monotonic increasing of a recurrence sequence
121544
Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$