Q31Section B (Section B)31 of 60

Statements that are necessarily false for series of positive terms

Suppose $\{a_n\}$ , $\{b_n\}$ are sequences such that $a_n>0$ , $b_n>0$ for all $n\ge1$ . Given that $\sum a_n$ converges and $\sum b_n$ diverges, which of the following statements is (are) necessarily FALSE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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