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For more information, please see full course syllabus of College Calculus: Level I
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Lecture Comments (12)

0 answers

Post by Francois Barrett on September 8, 2014

Explained everything thoroughly... If only my calc Prof could do the same

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Post by Mirza Baig on November 26, 2013

For example 3 can we use l'hopital's rule to figure out the limits ?

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Post by ALI SAAD on December 2, 2012

She knows the matterial well, But she doesnt know how to explain in,She rather further complicate this.Educator.com must start listining to people's opinion to be able to attract more students!

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Post by kelly Akum on July 18, 2012

I agree. she does explain things very well.

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Post by Wayne Phan on March 7, 2012

This material in this video was very well explained. Thank you, Professor! keep up the good work.

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Post by Nick Kozik on February 20, 2012

LOL at anyone saying this is hard, or that Switkes is a bad teacher. She explains 10 times better than my Calculus teacher, and explains in more detail than he does; and I have had over sixty people tell me my teacher is great.
She gives pleanty of examples, and pleanty of detail...Actually, WAY more detail than needed. Look to the last lesson (Limit Investigations) where she shows compute derivatives, something you may not know. This = More than enough information.

1 answer

Last reply by: Scott Katzelnick
Sat Mar 3, 2012 12:57 AM

Post by arturo torres on January 1, 2012

i feel that for example number one we ignored the fact that sqrt of 9 can also be -3 with would still make this undefined. dose anyone know why we would ignore that?

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Post by Hamza albobaz on October 29, 2011

thank u verey much keep it up

Algebraic Evaluation of Limits

  • Remember that we are looking at what happens as approaches (not what happens at ).
  • For limits as , we are looking at what happens as x increases or decreases without bound.
  • Sometimes an algebraic rearrangement will help you to evaluate a limit.
  • For limits of rational functions as , starting by dividing the numerator and denominator by the highest power of x appearing in the denominator.

Algebraic Evaluation of Limits

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Evaluating Limits 0:09
  • Lecture Example 1 1:06
  • Lecture Example 2 5:16
  • Lecture Example 3 8:15
  • Lecture Example 4 12:58
  • Additional Example 5
  • Additional Example 6