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2. Mandelbrot set - Wikipedia

   en.wikipedia.org/wiki/Mandelbrot_set

   The Mandelbrot set ( / ˈmændəlbroʊt, - brɒt /) [ 1][ 2] is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers for which the function does not ...

3. 1 + 2 + 4 + 8 + ⋯ - Wikipedia

   en.wikipedia.org/wiki/1_%2B_2_%2B_4_%2B_8_%2B_%E...

   In mathematics, 1 + 2 + 4 + 8 + ⋯ is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. As a series of real numbers it diverges to infinity, so the sum of this series is infinity. However, it can be manipulated to yield a number of ...

4. Taylor series - Wikipedia

   en.wikipedia.org/wiki/Taylor_series

   The Taylor polynomials for ln(1 + x) only provide accurate approximations in the range −1 < x ≤ 1. For x > 1, Taylor polynomials of higher degree provide worse approximations. The Taylor approximations for ln(1 + x) (black). For x > 1, the approximations diverge. Pictured is an accurate approximation of sin x around the point x = 0. The ...

5. AOL Mail

   mail.aol.com

   You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.

6. Basel problem - Wikipedia

   en.wikipedia.org/wiki/Basel_problem

   The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, [ 1] and read on 5 December 1735 in The Saint Petersburg Academy of Sciences. [ 2] Since the problem had withstood the attacks ...

7. List of mathematical series - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_series

   List of mathematical series. This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. is a Bernoulli polynomial. is an Euler number. is the Riemann zeta function. is the gamma function. is a polygamma function. is a polylogarithm.