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:

    “The nonchalance and dolce-far-niente air of nature and society hint at infinite periods in the progress of mankind.”
    —Henry David Thoreau (1817–1862)

    “The theory of truth is a series of truisms.”
    —J.L. (John Langshaw)