How to find the limit using SQUEEZE THEOREM (KristaKingMath)

Sometimes it's difficult or impossible to evaluate a limit directly. Instead, you may be able to use squeeze theorem to prove the value of the limit.

Squeeze theorem is so called because you prove the value of the limit by squeezing the function between two others. If you can show that a function always lies between two others, and then you can show that the limit of the other two functions is equal at some point, then you can also prove that the limit of the original function must have the same limit at the same point, since the function is squeezed between the other two.

To use squeeze theorem, you'll want to look for two functions or values, one of which will always be greater than the given function, the other which will always be less than the given function. Then you can set the three up in an inequality, taking the limit of the other two at the point of interest, and squeezing the limit of the given function down to just one value.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[joodk]

omg I actually cant thank you enough. your voice is so calming and the way you explain everything is so simple. I watched multiple videos and this is the only one that made sense. THANK YOU!!!

[faustogerman]

Omg, you are an angel! this video has saved me from 5 days of confusion.

[arleenl]

For so long I have been confused about the purpose and usage of the squeeze theorem. Your explanation was extremely clear and helpful! Thank you

[spugged]

this was a masterful tutorial on the squeeze theorem, short, sweet and concise.

[James-somf]

Thank you so much for making this explanation! I never understood that this was how squeeze theorum operated with my professor mumbling all of it to us

[SuperMaanas]

This video helped me so much.

Thank you Krista!

[hidro.nthn_]

Thank you Mrs. Krista for clarifying the problem 💝

[nilamilo]

Oh my gosh this video is perfect! I went to class, read the textbook and still didn't understand where all these values and stuff were coming from, but you made it so simple- and it is! I wish it was explained this way to me the first or second time around. But thank you so much, this will help me a lot on my Calculus exam!

[rayvenner]

Way better explanation than my calculus teacher's.

[umairishuman]

thank you for this. I will always owe you.

[vienna]

no way its actually that simple 😭. thank you so much for such a clear explanation!

[emerald]

ive been staring at my homework for like 2 hours and this was the video that made it all click! thanks so much !!

[majeedoh]

you have really helped me to get the concept, subscription is the the least thing I can thank you with .

[bryanherrera]

Thanks! Very easy to follow and understand!

[suhelpatel]

how would you use this theorem to find the limit of a non-trig function

[amberhsu]

This helped me so much! Thank you so much!

[ahmedhamada]

This explanation is really good thank you

[austinwallace]

Thank you! Another great YouTube math teacher! Subbed!

[theadegala]

I love your videos so much!! Thank you thank you thank you

[Doges]

this is so damn good, thanks... my prof literally does not teach jack in his class