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New posts in nested-radicals
how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$ [duplicate]
algebra-precalculus
nested-radicals
Can the general septic be solved by infinitely nested radicals?
roots
radicals
nested-radicals
Evaluate: $\int_0^1 \sqrt{x+\sqrt{x^2+\sqrt{x^3+\cdots}}}\, dx. $
convergence-divergence
definite-integrals
nested-radicals
How would I simplify this function $\rho(x)=x+\sqrt{x-\sqrt{x-\sqrt{x+\sqrt{\dots}}}}$
calculus
functions
radicals
nested-radicals
Evaluating $\sqrt{6+\sqrt{6+\cdots}}$
sequences-and-series
limits
nested-radicals
Interesting infinite nested square roots of 2 for $2\cos1°$ and $2\sin1°$
trigonometry
pi
nested-radicals
Is there an exact term for $\sqrt{2+\sqrt{4+\sqrt{8+\dots}}}$
limits
nested-radicals
Find the value of : $\lim_{n\to\infty}(2a)^{\frac{n}{2}}\sqrt{a-\sqrt{a(a-1)+\sqrt{a(a-1)+\cdots}}}$
limits
nested-radicals
If $f(x)^2=x+(x+1)f(x+2)$, what is $f(1)$?
functions
functional-equations
nested-radicals
The sum of infinite fours: $\sqrt{4^0+\sqrt{4^1+ \sqrt{4^2+ \dots}}}=?$
calculus
nested-radicals
Proving $\left(\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+\cdots}}}}\right)\left(\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x+\cdots}}}}\right)=x$
calculus
sequences-and-series
limits
radicals
nested-radicals
Is there an explicit formula that gives the value of $\sqrt{2+\sqrt{2+\sqrt{2+\cdots}}}$ for $n$ square roots? [duplicate]
calculus
algebra-precalculus
trigonometry
substitution
nested-radicals
How do I prove that $\sqrt{20+\sqrt{20+\sqrt{20}}}-\sqrt{20-\sqrt{20-\sqrt{20}}} \approx 1$
numerical-methods
approximation
radicals
nested-radicals
How to solve $ \sqrt{x^2 +\sqrt{4x^2 +\sqrt{16x^2+ \sqrt{64x^2+\dotsb} } } } =5\,$?
sequences-and-series
recurrence-relations
radicals
nested-radicals
Proving the limit of a nested sequence
calculus
sequences-and-series
limits
nested-radicals
Find $ ? = \sqrt[3] {1 + \sqrt[3] {1 + 2 \sqrt[3] {1 + 3 \sqrt[3] \cdots}}} $
calculus
limits
recursion
nested-radicals
Nested Radicals and Continued Fractions
soft-question
continued-fractions
nested-radicals
Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$
algebra-precalculus
elementary-number-theory
radicals
nested-radicals
Is there formula to easily factorize $7+4 \sqrt{3}$ to $(2+ \sqrt{3} )^2$? [duplicate]
algebra-precalculus
proof-writing
radicals
nested-radicals
What is the result of $\sqrt{-\frac{1}{4}+\sqrt{-\frac{1}{4}+\sqrt{-\frac{1}{4}+\sqrt{-\frac{1}{4}+...}}}}$
complex-numbers
nested-radicals
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