Difference between revisions of "Sandwich theorem"
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{{distinguish|the [[Ham Sandwich Theorem]]}} | {{distinguish|the [[Ham Sandwich Theorem]]}} | ||
+ | Also known as the '''squeeze theorem''' | ||
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>. | 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>. |
Revision as of 14:59, 5 November 2023
Not to be confused with the Ham Sandwich Theorem
Also known as the squeeze theorem
Suppose that are sequences such that
converge to the same number
and that
for all
. Then
also converges to
.
Further reading
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