# show this series converge uniformly to a continuous function

$f(x)=\sum_{n\geq1}{a_{n}\cos(nx)}+\sum_{n\geq1}{b_ {n}\sin(nx)}\ \ \ \ \ \ with \ \ \ |a_{n}|\leq \frac{c}{n^{1+\epsilon}}, \ \ \ |a_{n}|\leq \frac{c}{n^{1+\epsilon}}$
$f(x)=\sum_{n\geq1}{a_{n}\cos(nx)}+\sum_{n\geq1}{b_ {n}\sin(nx)}\ \ \ \ \ \ with \ \ \ |a_{n}|\leq \frac{c}{n^{1+\epsilon}}, \ \ \ |a_{n}|\leq \frac{c}{n^{1+\epsilon}}$