New posts in sequences-and-series

If the difference between two consecutive elements tends to 0, then the sequence converges? Mistake in proof

real-analysis sequences-and-series convergence-divergence cauchy-sequences

Is Lebesgue integral w.r.t. counting measure the same thing as sum (on an arbitrary set)?

real-analysis sequences-and-series measure-theory summation lebesgue-integral

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

Proof that the limit of the square root is the square root of the limit

calculus sequences-and-series analysis

Binomial Expansion, Taylor Series, and Power Series Connection

sequences-and-series

A tough series related with a hypergeometric function with quarter integer parameters

sequences-and-series special-functions hypergeometric-function elliptic-integrals

Find the limit of $U_n$ that satisfies $x_{n+1}=\frac{n+2}{3n+11}(\sqrt{x_n}+\sqrt[3]{7+x_n})$

sequences-and-series algebra-precalculus limits fractions

Evaluate $\sum \limits_{n=1}^\infty \frac1{L_n}$ where $L_n$ is least common multiple of $1, 2, 3,\ldots,n$

real-analysis sequences-and-series

Is $e = \sum_n 1/n!$ the most efficient sequence of denominators for rational series for $e$?

real-analysis sequences-and-series approximation

question about decomposition of positive terms series $\sum_{n=1}^\infty a_k$ where $a_k=b_k + c_k$

real-analysis sequences-and-series

Does there exist a number $n >1$ such that $n = s(n)^{s(n)}$?

sequences-and-series number-theory

Count valid colourings on an hexagonal grid

sequences-and-series combinatorics discrete-mathematics graph-theory

Is $\{\sin^n{(n)}:n\in\mathbb{N}\}$ dense in $[-1,1]$?

sequences-and-series limits trigonometry supremum-and-infimum

What's the sum of the reciprocals of the numbers that can be written as the sum of two positive cubes?

real-analysis sequences-and-series combinatorics number-theory zeta-functions

Relating alternating harmonic series with an example

calculus sequences-and-series summation

Closed form for $\sum_{k=0}^{n} k\binom{n}{k}\log\binom{n}{k}$

sequences-and-series asymptotics binomial-coefficients

The set of all limits of sub-series of an absolute convergent series

real-analysis sequences-and-series limits

How can i find the general term for this sequence?

sequences-and-series

Proving the limit of a nested sequence

calculus sequences-and-series limits nested-radicals

Limit of recursive sequence with floor

calculus sequences-and-series limits recurrence-relations contest-math