设{an}与{bn}为两个数列,下列说法正确的是( ).
A 若{a<sub>n</sub>}与{b<sub>n</sub>}都发散,则{a<sub>n</sub>b<sub>n</sub>}一定发散 B 若{a<sub>n</sub>}与{b<sub>n</sub>}都无界,则{a<sub>n</sub>b<sub>n</sub>}一定无界 C <img width="300" height="25" src="https://www.beizhujiaoyu.com/uploads/202208/20211020153903_0564.jpg" title="" align="" alt="" /> D <img width="400" height="26" src="https://www.beizhujiaoyu.com/uploads/202208/20211020153904_8377.jpg" title="" align="" alt="" />