Limit of Piecewise Function

Discussion in 'Calculus' started by nycmathguy, May 4, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 2.3

    Note: The following question is not covered by Jenn in any of her limits video lessons. However, I am curious about how this one is done.

    Can you help me with parts (a - c)?

    Screenshot_20220503-184545_Samsung Notes.jpg
     
    nycmathguy, May 4, 2022
    #1
  2. nycmathguy

    MathLover1

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    a. [​IMG]

    upload_2022-5-3_20-4-37.gif

    upload_2022-5-3_20-5-0.gif

    b. lim f(x) as x->1 does exist

    c.

    [​IMG]
     
    Last edited: May 4, 2022
    MathLover1, May 4, 2022
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Much better here. Do you see your answer for part (a)? This is how I would like for you to reply moving forward. It makes reading math so much easier. How did you conclude the limit is 1? I am not too clear in terms of limits of piecewise functions.
     
    nycmathguy, May 4, 2022
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