Difference between revisions of "Sandwich theorem"

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Suppose that <math>a_n, b_n, c_n</math> are sequences such that <math>a_n, c_n</math> [[limit|converge]] to the same number <math>L</math> and that <math>a_n \leq b_n \leq c_n</math> for all <math>n</math>. Then <math>b_n</math> also converges to <math>L</math>.
  
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==Further reading==
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*[[Calculus]]
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*[[Limit]]
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[[Category: Analysis]]
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Revision as of 15:51, 19 November 2019

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

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