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anonymous

  • 5 years ago

Improper integrals: how do i know when the limit is coming from the left or the right?

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  1. anonymous
    • 5 years ago
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    You decide how to approach the limit, and denote it as such....Lim as x->0+ or lim as x->0- Would be read as Limit as x approaches 0 from the right, etc.... You can replace the limit as x approaches 0 with x approaching any number...

  2. anonymous
    • 5 years ago
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    ex. \[\lim_{L \rightarrow 7} \int\limits_{7}^{0}\]

  3. anonymous
    • 5 years ago
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    proper coded notation is as follows.....using 9/x as the limit to be evaluated approached from the left.... lim_(x->9^-) 9/x = 1

  4. anonymous
    • 5 years ago
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    \[\lim_{L \rightarrow 7}\int\limits_{L}^{7}1/{(x-7)^{2}}\]

  5. anonymous
    • 5 years ago
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    Yes, imignott is correct

  6. anonymous
    • 5 years ago
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    How do i know when L is going to 7 from the left or the right?

  7. anonymous
    • 5 years ago
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    because the limit is on the lower bound, would mean approached from the left, or lower end of the number line.... Vice versa for upper bound and from the right...

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