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anonymous

  • 5 years ago

Use the graph to determine each limit.

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  1. anonymous
    • 5 years ago
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    i) \[\lim_{x \rightarrow 2^{-}} f(x)\] ii) \[\lim_{x \rightarrow 2^{+}} f(x)\] iii) \[\lim_{x \rightarrow 2} f(x)\] iv) \[\lim_{x \rightarrow 2^{-}} f(x)\] v) \[\lim_{x \rightarrow 0^{+}} f(x)\] vi) \[\lim_{x \rightarrow 0} f(x)\]

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  2. anonymous
    • 5 years ago
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    ERRATA: iv) \[\lim_{x \rightarrow 0^{-}} f(x)\]

  3. amistre64
    • 5 years ago
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    lets call the left graph "f(x)" and the right graph "g(x)" that way we can tell what were talking about.... now are we supposed to take the specified limit as it pertains to both graphs individually?

  4. anonymous
    • 5 years ago
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    we must answer all for each graph.

  5. amistre64
    • 5 years ago
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    so the limits are 2 from the right, 2 from the left, 0 from the right, 0 from the left, and at 0 and at 2..if I read this correctly

  6. anonymous
    • 5 years ago
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    Yes, that's correct.

  7. amistre64
    • 5 years ago
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    a = f(x) lim{2+} = +infinity; lim{2-} = -infinity; lim{2} = not exist.

  8. amistre64
    • 5 years ago
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    a = f(x) lim{0+} = 0; lim{0+} is undefined, no graph there; lim{0} = 0 maybe...but hard to tell since the 0- is gone....

  9. anonymous
    • 5 years ago
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    you mean, lim{0-} is undefined, right?

  10. amistre64
    • 5 years ago
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    umm.... yeah, thats what I meant :)

  11. anonymous
    • 5 years ago
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    ohh! thanks! I do not know how to define it. let's b.

  12. amistre64
    • 5 years ago
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    b=g(x) lim{2+} = -1; lim{2+} =-1 ; lim{2} = -1 lim{0+}=1; lim{0-}=undefined; lim{0}=1 I would assume since it is a solid "dot"

  13. amistre64
    • 5 years ago
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    did it again didnt i....lim{2-} = -1

  14. anonymous
    • 5 years ago
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    haha. np. btw, thanks!

  15. amistre64
    • 5 years ago
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    youre welcome :)

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