Horizontal & Vertical Asymptotes...1

Discussion in 'Calculus' started by nycmathguy, May 29, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 2.6

    How about 52? Please include the graph as well as the algebra work.

    Screenshot_20220528-095919_Samsung Notes.jpg
     
    nycmathguy, May 29, 2022
    #1
  2. nycmathguy

    MathLover1

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    52.
    Asymptotes of upload_2022-5-29_13-48-27.gif

    Vertical:

    find x that makes e^x-5=0
    e^x=5
    ln(e^x)=ln(5)
    x*ln(e)=ln(5).....ln(e)=1
    x=ln (5)

    Horizontal:
    upload_2022-5-29_13-46-30.gif
    upload_2022-5-29_13-46-43.gif

    so, horizontal asymptotes are:
    y=2, y=0

    upload_2022-5-29_13-53-50.png
     
    MathLover1, May 29, 2022
    #2
    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    nycmathguy, May 29, 2022
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