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:

    “Psychobabble is ... a set of repetitive verbal formalities that kills off the very spontaneity, candor, and understanding it pretends to promote. It’s an idiom that reduces psychological insight to a collection of standardized observations, that provides a frozen lexicon to deal with an infinite variety of problems.”
    —Richard Dean Rosen (b. 1949)

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