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New posts in nested-radicals
Denesting a square root: $\sqrt{7 + \sqrt{14}}$
elementary-number-theory
radicals
nested-radicals
Proof of an equality involving cosine $\sqrt{2 + \sqrt{2 + \cdots + \sqrt{2 + \sqrt{2}}}}\ =\ 2\cos (\pi/2^{n+1})$
trigonometry
nested-radicals
Definition of convergence of a nested radical $\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4+\cdots}}}}$?
calculus
sequences-and-series
definition
nested-radicals
How can I show that $\sqrt{1+\sqrt{2+\sqrt{3+\sqrt\ldots}}}$ exists?
sequences-and-series
limits
nested-radicals
Why is this series of square root of twos equal $\pi$?
sequences-and-series
limits
pi
nested-radicals
Denesting radicals like $\sqrt[3]{\sqrt[3]{2} - 1}$
algebra-precalculus
contest-math
roots
radicals
nested-radicals
$\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation [closed]
calculus
limits
radicals
infinite-product
nested-radicals
How to find this limit: $A=\lim_{n\to \infty}\sqrt{1+\sqrt{\frac{1}{2}+\sqrt{\frac{1}{3}+\cdots+\sqrt{\frac{1}{n}}}}}$
sequences-and-series
limits
nested-radicals
Is $\sqrt {2 \sqrt {3 \sqrt {4 \ldots}}}$ algebraic or transcendental?
transcendental-numbers
nested-radicals
Evaluating the nested radical $ \sqrt{1 + 2 \sqrt{1 + 3 \sqrt{1 + \cdots}}} $.
real-analysis
calculus
sequences-and-series
limits
nested-radicals
Simplifying $\sqrt[4]{161-72 \sqrt{5}}$
algebra-precalculus
radicals
nested-radicals
All real numbers in $[0,2]$ can be represented as $\sqrt{2 \pm \sqrt{2 \pm \sqrt{2 \pm \dots}}}$
reference-request
real-numbers
irrational-numbers
nested-radicals
Strategies to denest nested radicals $\sqrt{a+b\sqrt{c}}$
algebra-precalculus
proof-writing
radicals
nested-radicals
$\sqrt{c+\sqrt{c+\sqrt{c+\cdots}}}$, or the limit of the sequence $x_{n+1} = \sqrt{c+x_n}$
calculus
sequences-and-series
limits
faq
nested-radicals
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