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Math Help - Limit graph with decimals

  1. #1
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    Limit graph with decimals

    I think that this problems is sorry to say the least. I wants me to take the right and left hand limits, but to my observation the coordinating values are decimals.

    Below is the graph and here it asks me, also I have the answers only to those without a question mark


    1. The limit as x approaches 0.8 from the left hand side:?
    2. f(0.8)=0.8
    3. The limit as x approaches 0.8 from the right hand side:?
    4. Is this function continuous at 0.8 (Y/N): No



    Limit graph with decimals-akrawls-222-set1241sec2-q-2prob2image1.png
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  2. #2
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    Quote Originally Posted by qbkr21 View Post
    I think that this problems is sorry to say the least. I wants me to take the right and left hand limits, but to my observation the coordinating values are decimals.

    Below is the graph and here it asks me, also I have the answers only to those without a question mark


    1. The limit as x approaches 0.8 from the left hand side:?
    2. f(0.8)=0.8
    3. The limit as x approaches 0.8 from the right hand side:?
    4. Is this function continuous at 0.8 (Y/N): No



    Click image for larger version. 

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    How can f(0.8) = 0.8? The value of f at this point is clearly 0. (That's what the red dot is telling you.)

    From the left, I get that lim f(0.8) is about -0.6 and from the right I get that lim f(0.8) is about -1.1. Since these limits are not the same, the function is not continuous at this point.

    -Dan
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  3. #3
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    I got the answers

    1. -0.6
    3. -1.2

    I can't stand math teachers who make up problems like this. They should just die. Counting every hash mark in multiples of 2 is why I hate doing there homework. If they have nothing else do do besides create homework like this they should quit teaching. Ludicrous!
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by qbkr21 View Post
    I got the answers

    1. -0.6
    3. -1.2

    I can't stand math teachers who make up problems like this. They should just die. Counting every hash mark in multiples of 2 is why I hate doing there homework. If they have nothing else do do besides create homework like this they should quit teaching. Ludicrous!
    On the other hand, when doing a physical experiment you have to be able to read the graph so some experience doing so in school is a good idea. (That you and I got slightly different answers is one of the reasons the concept of statistical error was developed.)

    -Dan
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