nth Root - Infinite Series

Infinite Series

The radical or root may be represented by the infinite series:


(1+x)^{s/t} = \sum_{n=0}^\infty \frac{\prod_{k=0}^{n-1} (s-kt)}{n!t^n}x^n

with . This expression can be derived from the binomial series.

Read more about this topic:  nth Root

Famous quotes containing the words infinite and/or series:

    Nothing has shown more fully the prodigious ignorance of human ideas and their littleness, than the discovery of [Sir William] Herschell, that what used to be called the Milky Way is a portion of perhaps an infinite multitude of worlds!
    Horace Walpole (1717–1797)

    Mortality: not acquittal but a series of postponements is what we hope for.
    Mason Cooley (b. 1927)