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:

    ““. . . Me miserable! which way shall I fly
    Infinite wrath and infinite despair?
    Which way I fly is Hell; myself am Hell;
    And, in the lowest deep, a lower deep
    Still threat’ning to devour me opens wide,
    To which the Hell I suffer seems a Heaven.”
    —John Milton (1608–1674)

    “The woman’s world ... is shown as a series of limited spaces, with the woman struggling to get free of them. The struggle is what the film is about; what is struggled against is the limited space itself. Consequently, to make its point, the film has to deny itself and suggest it was the struggle that was wrong, not the space.”
    —Jeanine Basinger (b. 1936)