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clara1223

  • one year ago

find the limit as x approaches 10 of abs(x)/x

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  1. clara1223
    • one year ago
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    \[\lim_{x \rightarrow 10}\frac{ \left| x \right| }{ x }\]

  2. amistre64
    • one year ago
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    what is the limit from the left? what is the limit from the right?

  3. clara1223
    • one year ago
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    1 and -1. I thought the limit didn't exist but that was wrong.

  4. amistre64
    • one year ago
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    it is not 1 and -1 tho, x=10 is rather far away from the 'vertex'

  5. amistre64
    • one year ago
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    is the function continuous at x=10?

  6. clara1223
    • one year ago
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    |dw:1441405357951:dw| Is this piecewise function wrong? that's how I simplify that function

  7. clara1223
    • one year ago
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    and i'm not sure if it's continuous

  8. amistre64
    • one year ago
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    your function definition is fine as is now read carefully, what is your x approaching? you have x to 10 posted.

  9. clara1223
    • one year ago
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    yes that's correct.

  10. clara1223
    • one year ago
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    WAIT is the limit 1?

  11. amistre64
    • one year ago
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    |dw:1441405531048:dw|

  12. amistre64
    • one year ago
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    yes

  13. clara1223
    • one year ago
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    okay, thanks! I understand.

  14. amistre64
    • one year ago
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    good luck

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