section_path: Infinite series
section_name: Infinite series
paragraph_text: Infinite series
  
  The radical or root may be represented by the infinite series:
  
  (1 + x) s t = ∑ n = 0 ∞ ∏ k = 0 n − 1 (s − k t) n ! t n x n {\displaystyle (1+x)^{\frac {s}{t}}=\sum _{n=0}^{\infty }{\frac {\prod _{k=0}^{n-1}(s-kt)}{n!t^{n}}}x^{n}}
  
  with | x | < 1 {\displaystyle |x|<1}. This expression can be derived from the binomial series.