Ononot — A sequence of functions fn(x) = x^n on [0, 1] converges poin

Limits & Continuityhard

0:00.0

A sequence of functions $f_n(x) = x^n$ on $[0, 1]$ converges pointwise to $f(x) = 0$ for $x \in [0, 1)$ and $f(1) = 1$ . Which of the following statements about this convergence is correct?