The Squeeze Theorem for Limits, Example 1

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Uploaded by on Aug 12, 2008

The Squeeze Theorem for Limits - I discuss the idea of the Squeeze Theorem as well as showing two examples illustrating the Squeeze Theorem!

For more free math videos, check out http://PatrickJMT.com

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  • Wait, I have a question. In the squeeze theorem, can the two defined limits on opposite sides of the oriinal function ever be unequal? For example, can this happen:

    limx-0 [4] =< limx-0 [f(x)] =< limx-0 [6]

    Why? Or if not, why not?

  • @lovemeordie83 sure, they can. but in the squeeze theorem per se, i believe the limits are equal, so that you get a specific solution instead of a possible interval

  • thank you. teachers rush to get through the chapters and they forget that we don't know it yet

  • @DaDude458 teachers get in trouble if they do not cover all the material so they have to rush. it is not something that most of them want to do!

  • Thnx saved my butt from calculus

  • @8IceBlaze the calculus butt monster cometh

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  • @IDBC94 did you dream of my hairy arm? i hope not...

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  • You explained this so simply and well. Thanks so much for also providing two examples.

  • thank you so much! i have a test tomorrow on this stuff and i didn't get sandwich theorem until i watched your video... thanks! (:

  • @patrickJMT NICE VIDEO MAN it rly helped me :D but i want to ask u something if u dont mind...... in case we got sin instead of cos the domain should be 1<=sinf(x)<= -1 ? or -1<=sinf(x)<=1

  • You are the best, Pat.

  • @GrandMasterJuan since the cosine function has a limited range of -1 to 1

  • So you have to make up the functions on the outside, i get it. But how do you know what limits to look for, for example you used (-1) and (1), but why did you use those, and how did you come up with them ?

  • this saved me from sleep deprivation i actually know whats going on in class now

  • @loojyaj92 I think you say that h(x) is somewhere between f(x) and g(x)

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