已知{an},{bn}满足lim(2an+bn)=1,lim(an-2bn)=1,求lim(anbn)的值

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已知{an},{bn}满足lim(2an+bn)=1,lim(an-2bn)=1,求lim(anbn)的值

已知{an},{bn}满足lim(2an+bn)=1,lim(an-2bn)=1,求lim(anbn)的值
已知{an},{bn}满足lim(2an+bn)=1,lim(an-2bn)=1,求lim(anbn)的值

已知{an},{bn}满足lim(2an+bn)=1,lim(an-2bn)=1,求lim(anbn)的值
设lim(an)=x,lim(bn)=y
2x+y=1
x-2y=1
所以
x=3/5,y=-1/5
lim(anbn)=xy=-3/25

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