# Definite integral/From 1 over n+1 to 1 over n/Exercise

Let ${\displaystyle {}f\colon [0,1]\rightarrow \mathbb {R} }$ be a continuous function. Consider the following sequence
${\displaystyle {}a_{n}:=\int _{\frac {1}{n+1}}^{\frac {1}{n}}f(t)dt\,.}$