New posts in Sequences And Series

How to Evaluate $ \sum_{n=1}^{\infty} \frac{(-1)^n}{n} \sum_{k=1}^{n}\frac{1}{4k-1} $

Suppose each $x_{n+1} \le \left(\sum_{i=1}^n x_i \right)^{-c}$ for some $c \in (0,1)$. How quickly can $\sum_{i=1}^n x_i $ grow?

Taylor polynomial with remainder for solving limit

Two equivalent series converge on different limits

Continuous Fibonacci number F(n)

Limit of a sequence (definition)

Sum of Telescopic Series

Find the sum of series without differentiation

Challenging integral: $\int_0^{\pi/2}x^2\frac{\ln(\sin x)}{\sin x}dx$

A summation of a series based on the Fibonacci sequence.