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:

    “For granting we have sinned, and that the offence
    Of man is made against Omnipotence,
    Some price that bears proportion must be paid,
    And infinite with infinite be weighed.”
    —John Dryden (1631–1700)

    “Autobiography is only to be trusted when it reveals something disgraceful. A man who gives a good account of himself is probably lying, since any life when viewed from the inside is simply a series of defeats.”
    —George Orwell (1903–1950)