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>. | ||
Latest 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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