Use the comparison test to determine whether the series converges or diverges.
for n ≥ 1
This one's a little sneaky. Do the terms look like or like ? Either way, we guess the series diverges. To show this we need to find a divergent series with smaller terms. If we make the denominator bigger we make the fraction smaller, so replace with n:
Since multiplication by a constant doesn't affect whether the series diverges,