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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