THEOREM 10.15 Limit Comparison Test Let Ea, and Eb, be series with positive terms and let lim L. 1. If 0 < L < ∞ (that is, L is a finite positive number), then Ea, and Eb, either both converge or both diverge. 2. If L = 0 and Eb, converges, then Ea, converges. 3. If L = ∞ and Eb, diverges, then Ea, diverges. sin k k=1

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