Using comparison tests and limit comparison test

[Sunwoo Bae]

Homework Statement

Determine whether the following series converge or diverge by using appropriate test. (Picture below)

Relevant Equations

None

The answer sheet states that the series converges by limit comparison test (the second way).
In the case of this particular problem, would it be also okay to use the comparison test, as shown above? (The first way)

Thank you!

 

[Office_Shredder]

Using the comparison test is fine here.