Find Limit Graphically...4

Discussion in 'Calculus' started by nycmathguy, Apr 30, 2022.

  1. nycmathguy

    nycmathguy

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    Find the limit using a graph.

    Screenshot_20220429-210402_Samsung Internet.jpg

    IMG_20220429_211808.jpg

    Note: f(3) = 5 according to the graph. Yes?

    Question: If there was a hole at f(3), then the limit DNE. Yes?
     
    nycmathguy, Apr 30, 2022
    #1
  2. nycmathguy

    MathLover1

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    Notice again that the actual value of the function at 3 is not relevant to finding the limit

    In this case, limx →3- f(x) = f(c), but lim x →3+ f(x) does not equal f(c). Also, because the limits are different from the left and from the right, the two-sided limit limx 3 f(x) does not exist. Specifically, we can write:

    limx →3- f(x) =5

    limx →3+ f(x) = 2

    limx 3 f(x) does not exist
     
    MathLover1, Apr 30, 2022
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    It's ok to make mistakes when learning.
     
    nycmathguy, Apr 30, 2022
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