Help pls

𝐬𝐮𝐦𝐟𝐨𝐫(𝐧, 𝟏, 𝟏𝟎𝟎𝟎𝟎𝟎𝟎, 𝟐 / ( 𝐧^𝟑 + 𝟑* 𝐧^𝟐 + 𝟐* 𝐧))=𝐢𝐭 𝐜𝐨𝐧𝐯𝐞𝐫𝐠𝐞𝐬 𝐭𝐨 𝟏 / 𝟐

Compute the sum $\dfrac{2}{1 \cdot 2 \cdot 3} + \dfrac{2}{2 \cdot 3 \cdot 4} + \dfrac{2}{3 \cdot 4 \cdot 5} + \cdots$

Answer here: https://web2.0calc.com/questions/algebra_47009#r4