Find Numbers Where f is Discontinuous...2

Discussion in 'Calculus' started by nycmathguy, May 20, 2022.

  1. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    4,966
    Likes Received:
    417
    Calculus
    Section 2.5

    Screenshot_20220516-084246_Samsung Notes.jpg

    Question 43.

    Screenshot_20220520-160900_Symbolab.jpg

    I say is discontinuous at x = -1. LHL does not equal RHL.

    At x = 1, LHL = RHL = 1. So, at x = 1, f is continuous.

    At x = 0, LHL does equal RHL. So, f is discontinuous at x = 0.

    You say?
     
    nycmathguy, May 20, 2022
    #1
    1. Advertisements

  2. nycmathguy

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,758
    Likes Received:
    2,669
    at x = 1, f is only on left side, x=1 is a hole, no function on right side=> f is discontinuous at x = 1
     
    MathLover1, May 20, 2022
    #2
    nycmathguy likes this.
    1. Advertisements

  3. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    4,966
    Likes Received:
    417
    I totally screw this one up.
     
    nycmathguy, May 21, 2022
    #3
    1. Advertisements

Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.