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:

    “Hath not the morning dawned with added light?
    And shall not evening call another star
    Out of the infinite regions of the night,
    To mark this day in Heaven? At last, we are
    A nation among nations; and the world
    Shall soon behold in many a distant port
    Another flag unfurled!”
    —Henry Timrod (1828–1867)

    “Every man sees in his relatives, and especially in his cousins, a series of grotesque caricatures of himself.”
    —H.L. (Henry Lewis)