Answer:
The series converges as any two consecutive elements of the sum are monotonically decreasing.
Step-by-step explanation:
The series converges since the consecutive element is monotonically decreasing. That is:
[tex]\forall\,i\in \mathbb{N}\,a_{i} > a_{i+1}[/tex] (1)
Where:
[tex]a_{i}[/tex] - The i-th component of the sum.
[tex]a_{i+1}[/tex] - The (i+1)-th component of the sum.
