Consider the series Σ n=1 1 n³ + 7n Write an inequality comparing inequality: Incorrect 1 n³ + 7n (Express numbers in exact form. Use symbolic notation and fractions where needed.) 1 ∞ Draw a conclusion about Σ ∞ and Σ n=1 1 1 n3/2 1 n=1 √n³ +7n − 1 to 1 n312 for n ≥ 1. The series converges by the Direct Comparison Test since 1 It is not possible to draw a conclusion based on this information. n³/2 converges. The series diverges by the Direct Comparison Test since 1 diverges. 1 n3/2

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