Answer:
The statement in the question is wrong. The series actually diverges.
Step-by-step explanation:
We compute

Therefore, by the series divergence test, the series
diverges.
EDIT: To VectorFundament120, if
is a sequence, both
and
are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.
Cool thanks bro I appreciate it
Sprry, I don't speak spanish, really wish I could've helped. If anyone reading this knows spanish, please comment and tell me what the question is asking.