Consider the sequence $(f_n)$ of functions on the interval $[0,2]$
given by $f_n(x)=\frac{x^n}{2^n}$. Which {\bf one} 
of the following
statements accurately describes the behavior of this sequence?
\correct The sequence converges pointwise to a function which is not
continuous. 
\wrong The sequence converges pointwise to a continuous function, but
does not converge uniformly.
\wrong The sequence does not converge pointwise to any function.
\wrong The sequence converges uniformly to a function which is not
continuous.
\wrong The sequence converges uniformly to a continuous function.
