The Squeeze Theorem for Limits, Example 2

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This becomes child's play once you explain it. Our professor tried to make it out to be much harder than it is. Thanks, Patrick.

ImAlwaysRght
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Nothing else helped, but this and your other Squeeze Theorem Example videos did. Thank you so much.

Rice
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the skill of teaching and knowledge of the subject are two different things. Most professors and teachers don't have the two. You have both. Thank you very much. your videos have been very very useful.

adetrey
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I wish he could teach at UC Davis. Be my professor! You're so helpful and gifted at explaining concepts.

makemarshall
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You are the best math teacher I have found online so far!

zeweilei
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Wow, I gotta say your example is very very helpful. I have watched at least three videos of yours, and all of them gave me some idea of how to deal with my Ca1 problem. I m a guy who is clumsy at math you know, but it is very helpful!

JamesSkywalker
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Gonna get on patreon and pledge a dollar cuz this guy is gonna be the only reason i stay in uni

davidlugarov
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Unbelievable, I just learned something in two minutes that took my prof an hour and a half to teach. Interesting.

Thank you!

joed
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i dont know u patrick but u have impacted great things in my life with your teaching

tommytoks
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thanks so much! you carried me through high school, and now through school of engineering

yasharmosaferi
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@Ilikeroots Yes, he explains it the right way; some teachers do not get into details, which make math difficult and confusing for many students. Math is not that difficult upon having good teachers like Patrick. He uses elasticity in his approaches to make viewers understand math.

RobertMStFleur
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Nice work, now i have understood squeeze theorem after watching this

oliverwafula
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your explanation is comprehensible, I benefited a lot :)
thanks a bunch

xXUniqueSunRaysXx
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@ferralis a few things not on my website. always best to do a search on my channel as well!

patrickjmt
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thanks i was unable to understand the squeeze theorem but now thank God i get

hassanshahzad
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this is amazing. i understood it much better than in class

miriamtawadrous
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if i ace my calc exam, it would be bc of you... thanks dude

fauxcode
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You are a great teacher. I wonder how my PhD prof. is so dull.

laughtherapey
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If x was approaching zero instead of 1, you'd then be left with....4 < lim f(x) < -3 (with "<" meaning "greater than or equal to"). That would seem to imply that the limit doesn't exist as f(x) approaches zero. Is this true? And if so, wouldn't f(x) still be bound by the two functions it's being squeezed between?

mr_knowitall
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Thanks dude. The gift of learning is a invaluable. I vehemently appreciate your videos =)

greggles