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karabella98

  • one year ago

Find the limit as x approaches 0 from the left of [(1/(x+y))-(1/x)]/y

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  1. amistre64
    • one year ago
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    multiply top and bottom by x(x+y) to clear the fractions and simplify

  2. beginnersmind
    • one year ago
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    Are you sure it's x->0+ not y->0+?

  3. karabella98
    • one year ago
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    It's x -> 0-

  4. amistre64
    • one year ago
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    hmm, this might also seem to be f(x,y) stuff, multivariables

  5. amistre64
    • one year ago
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    what does 'from the left' mean in multivariable ?

  6. beginnersmind
    • one year ago
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    It means the same: x<0, I'm guessing.

  7. amistre64
    • one year ago
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    i get a simplified form as: -y/[x(x+y)]

  8. karabella98
    • one year ago
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    I know the right answer should be -1/x^2 but I can't get there

  9. amistre64
    • one year ago
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    -1/(x(x+y)) but thats -1/x^2 only if y=0

  10. amistre64
    • one year ago
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    are you sure your reading it correctly?

  11. amistre64
    • one year ago
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    post a screen shot/pic if you can

  12. karabella98
    • one year ago
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    I swear I'm blind it was y -> 0- you're right THANK YOU

  13. amistre64
    • one year ago
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    yep

  14. beginnersmind
    • one year ago
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    If you have problems with the algebra, read this pdf: It uses x_0 for x and deltax for y, but otherwise it's the same limit. http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-2-examples-of-derivatives/MIT18_01SCF10_Ses2a.pdf

  15. karabella98
    • one year ago
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    Thanks!!

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