$E=\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{19.21}$
$E=\dfrac{1}{2}.(\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{19}-\dfrac{1}{21})$
$E=\dfrac{1}{2}.(1-\dfrac{1}{21})$
$E=\dfrac{1}{2}.\dfrac{20}{21}$
$⇒E=\dfrac{10}{21}$
Vậy giá trị của $E=\dfrac{10}{21}$