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:

    “His hair has the long jesuschrist look. He is wearing the costume clothes. But most of all, he now has a very tolerant and therefore withering attitude toward all those who are still struggling in the old activist political ways ... while he, with the help of psychedelic chemicals, is exploring the infinite regions of human consciousness.”
    —Tom Wolfe (b. 1931)

    “I thought I never wanted to be a father. A child seemed to be a series of limitations and responsibilities that offered no reward. But when I experienced the perfection of fatherhood, the rest of the world remade itself before my eyes.”
    —Kent Nerburn (20th century)