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:

    “They will visit you at your convenience, whether you are lonesome or not, on rainy days or fair. They propose themselves as either transient acquaintances or permanent friends. They will stay as long as you like, departing or returning as you wish. Their friendship entails no obligation. Best of all, and not always true of our merely human friends, they have Cleopatra’s infinite variety.”
    —Clifton Fadiman (b. 1904)

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