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:

    This moment exhibits infinite space, but there is a space also wherein all moments are infinitely exhibited, and the everlasting duration of infinite space is another region and room of joys.
    Thomas Traherne (1636–1674)

    Galileo, with an operaglass, discovered a more splendid series of celestial phenomena than anyone since.
    Ralph Waldo Emerson (1803–1882)