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:

    “We know that every person who is loved feels transformed, unfolded, and he unfolds everything, the most intimate as well as the most familiar, to the one who loves him as well as to himself.... The person one loves is as ungraspable as the universe, as God’s infinite space, he is boundless, full of possibilities, full of secrets.”
    —Max Frisch (1911–1991)

    “The woman’s world ... is shown as a series of limited spaces, with the woman struggling to get free of them. The struggle is what the film is about; what is struggled against is the limited space itself. Consequently, to make its point, the film has to deny itself and suggest it was the struggle that was wrong, not the space.”
    —Jeanine Basinger (b. 1936)