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:

    “Idleness [is] only a coarse name for my infinite capacity for living in the present.”
    —Cyril Connolly (1903–1974)

    “Every day the fat woman dies a series of small deaths.”
    —Shelley Bovey, U.S. author. Being Fat Is Not a Sin, ch. 1 (1989)