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New posts in nested-radicals
Nested Radical of Ramanujan
sequences-and-series
proof-verification
nested-radicals
Find $\sqrt{4+\sqrt[3]{4+\sqrt[4]{4+\sqrt[5]{4+\cdots}}}}$
limits
recurrence-relations
nested-radicals
Show that the maximum value of this nested radical is $\phi-1$
functions
recursion
maxima-minima
nested-radicals
golden-ratio
Nested Radicals Involving Primes
number-theory
limits
convergence-divergence
nested-radicals
Nested root integral $\int_0^1 \frac{dx}{\sqrt{x+\sqrt{x+\sqrt{x}}}}$
integration
definite-integrals
nested-radicals
Evaluating the limit of $\sqrt[2]{2+\sqrt[3]{2+\sqrt[4]{2+\cdots+\sqrt[n]{2}}}}$ when $n\to\infty$
sequences-and-series
limits
nested-radicals
What's the limit of $\sqrt{2 + \sqrt{2-\sqrt{2+\sqrt{2-\sqrt{2-\sqrt{2 + ...}}}}}} $?
calculus
real-analysis
limits
closed-form
nested-radicals
Closed form for $\left(1+\left(\frac{1}{2}+\left(\frac{1}{3}+\left(\frac{1}{4}+\cdots\right)^2\right)^2\right)^2\right)^2$?
sequences-and-series
closed-form
nested-radicals
Showing that $\sqrt[3]{9+9\sqrt[3]{9+9\sqrt[3]{9+\cdots}}} - \sqrt{8-\sqrt{8-\sqrt{8+\sqrt{8-\sqrt{8-\sqrt{8+\cdots}}}}}} = 1$?
algebra-precalculus
radicals
real-numbers
nested-radicals
On the Paris constant and $\sqrt[k]{1+\sqrt[k]{1+\sqrt[k]{1+\sqrt[k]{1+\dots}}}}$?
limits
logarithms
nested-radicals
constants
golden-ratio
Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends
trigonometry
roots
radicals
nested-radicals
Ramanujan's radical and how we define an infinite nested radical [duplicate]
real-analysis
sequences-and-series
elementary-number-theory
convergence-divergence
nested-radicals
Converting sums of square-roots to nested square-roots
radicals
nested-radicals
The convergence of $\sqrt {2+\sqrt {2+\sqrt {2+\ldots}}}$ [duplicate]
real-analysis
sequences-and-series
nested-radicals
Find the limit $L=\lim_{n\to \infty} \sqrt{\frac{1}{2}+\sqrt[3]{\frac{1}{3}+\cdots+\sqrt[n]{\frac{1}{n}}}}$
sequences-and-series
algebra-precalculus
analysis
limits
nested-radicals
Limit of the nested radical $\sqrt{7+\sqrt{7+\sqrt{7+\cdots}}}$ [duplicate]
real-analysis
sequences-and-series
nested-radicals
Irrationality of $\sqrt{2\sqrt{3\sqrt{4\cdots}}}$
nested-radicals
rationality-testing
How to prove $\sqrt{5+\sqrt{5+\sqrt{5-\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5-\cdots}}}}}}} = \frac{2+\sqrt 5 +\sqrt{15-6\sqrt 5}}{2}$
sequences-and-series
radicals
nested-radicals
Simplification of expressions containing radicals
algebra-precalculus
nested-radicals
Find the value of $\sqrt{10\sqrt{10\sqrt{10...}}}$
limits
proof-verification
radicals
infinite-product
nested-radicals
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