i had this problem in my book that i wasn't able to do. I kinda had the idea of what it involved but just wanted to clear it up with you guys.(adsbygoogle = window.adsbygoogle || []).push({});

So the problem is:

Suppose that an ->L and bn ->L. Show that a1,b1,a2,b2,... converges to L.

So here it seems to me like i can obviously define a new sequence cn, like that in the pinching theorem. But using other definitions(epsilon, etc.) of sequences, how do i come up with a proof of this.

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# Homework Help: Limit of a sequence

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