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:

    “Politics are for foreigners with their endless wrongs and paltry rights. Politics are a lousy way to get things done. Politics are, like God’s infinite mercy, a last resort.”
    —P.J. (Patrick Jake)

    “Personality is an unbroken series of successful gestures.”
    —F. Scott Fitzgerald (1896–1940)