Sandwich theorem

Suppose that $a_n, b_n, c_n$ are sequences such that $a_n, c_n$ converge to the same number $L$ and that $a_n \leq b_n \leq c_n$ for all $n$. Then $b_n$ also converges to $L$.

Further reading

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS