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hpfan101

  • one year ago

What is the limit as x approaches 0.5 from the left of the function (2x-1)/(|2x^3 - x^2|)? For some reason, my textbook says the answer is -4, but I keep on getting "does not exist".

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  1. hpfan101
    • one year ago
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    \[\lim_{x \rightarrow 0.5^-}\frac{ (2x-1) }{ \left| 2x^3-x^2 \right| }\]

  2. welshfella
    • one year ago
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    The limit is different as x approaches 0.5 from the right

  3. welshfella
    • one year ago
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    this limit = 4

  4. welshfella
    • one year ago
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    so the limit from 'anywhere' does not exist

  5. welshfella
    • one year ago
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    - I guess that's not the proper term to use but thats the reason you are getting 'does not exist'.

  6. hpfan101
    • one year ago
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    Ok, but the question asks from the left. I know if the limit was approaching -0.5 then the answer would be -4. But as x approaches 0.5 it's not getting the same answer as in the book.

  7. hpfan101
    • one year ago
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    I just don't see how it's -4 from when x approaches 0.5 from the left.

  8. hpfan101
    • one year ago
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    Unless the textbook meant to ask about x approaching -0.5?

  9. welshfella
    • one year ago
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    form the left means its approaching from < 0.5

  10. welshfella
    • one year ago
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    plug in a value of say 0.499 and see what result you get

  11. hpfan101
    • one year ago
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    Oh, ok. Now I see what I was supposed to do! Thanks!

  12. hpfan101
    • one year ago
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    I ended up getting a value close to -4.

  13. welshfella
    • one year ago
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    yes

  14. welshfella
    • one year ago
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    yw

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