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Finding limits at infinity using squeeze theorem | Squeeze or Sandwich Theorem - Calculus 

Calculus
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In this calculus video I will show you how we can find limit at infinity using squeeze or sandwich theorem.
In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, the police theorem, the between theorem and sometimes the squeeze lemma, is a theorem regarding the limit of a function. In Italy, the theorem is also known as theorem of carabinieri.
The squeeze theorem is used in calculus and mathematical analysis. It is typically used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed. It was first used geometrically by the mathematicians Archimedes and Eudoxus in an effort to compute π, and was formulated in modern terms by Carl Friedrich Gauss.
In many languages (e.g. French, German, Italian, Hungarian and Russian), the squeeze theorem is also known as the two officers (and a drunk) theorem, or some variation thereof. The story is that if two police officers are escorting a drunk prisoner between them, and both officers go to a cell, then (regardless of the path taken, and the fact that the prisoner may be wobbling about between the officers) the prisoner must also end up in the cell.

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28 июл 2024

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Комментарии : 13   
@angiea.i.
@angiea.i. Год назад
Best math video I have ever seen. Thank you!!!
@afeworkbesufekad9038
@afeworkbesufekad9038 10 месяцев назад
Thank you for detail explanation. It helped my daughter to do her homework on this theorem.
@maheenng
@maheenng Год назад
Very good teaching style and comprehensible! Thanks!
@eshghi1356
@eshghi1356 Год назад
Really this is the best calculus video , thank you
@user-ev2mr6ff1f
@user-ev2mr6ff1f 6 месяцев назад
Thank you very much.l really appreciate your effort❤❤❤🎉
@beyonder3925
@beyonder3925 8 дней назад
What if lim x->0 sinx/x, then?
@mathvideo4326
@mathvideo4326 Год назад
Best explanation
@techwithtonny9837
@techwithtonny9837 Год назад
This is great
@isaacmiringu5870
@isaacmiringu5870 Год назад
Helpful
@josecarlosferreira4942
@josecarlosferreira4942 Год назад
Nice video. Just an observation at 2:52 We have to evaluate x>0 where -1/x
@calculus997
@calculus997 Год назад
NO, NO WE DO not need to consider two separate case here. BECAUSE x approaches infinity. AND so x is positive
@calculus997
@calculus997 Год назад
What you mentioned is when x approaches 0. NOT for this example
@ashokbhaiprajapati7920
@ashokbhaiprajapati7920 7 месяцев назад
Best lacture
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