# Trivial limit ( 1 - (-x)^n ) / 1 + x

by davitz
Tags: limit, trivial
 P: 854 I think you first need to have a condition on x before that is true. 0 < x < 1, right? If so, anything between 0 and 1 raised to a power of infinity will tend to 0, as it gets smaller with each successive multiplication. $$\lim_{n\to \infty} x^n = 0$$ where -1