If and, where both series have only positive terms, which of the following is false?

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If<br><img src='https://www.fatskills.com/images2/GradExams/E4FBB408-6217-4200-B94D-5209AB65289E.png' height='22' width='111'/> and<br><img src='https://www.fatskills.com/images2/GradExams/DA08F723-3A21-4A70-B665-457DEA5A9603.png' height='22' width='110'/>, where both series have only positive terms, which of the following is false?