Using comparison tests and limit comparison test

Sunwoo Bae
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Homework Statement
Determine whether the following series converge or diverge by using appropriate test. (Picture below)
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None
CB722E56-DDC4-4368-8164-96578AEE2EF1.jpeg

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!
 
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Using the comparison test is fine here.
 

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