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anonymous

  • 5 years ago

why is this -infinity

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  1. anonymous
    • 5 years ago
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    (x+7)/(x^2-4) limit approaches 2 negatively between -2 and 2 the denominator is negative but once it passes -2 it becomes +infinity so shouldn't it be +infinity instead of -infinity?

  2. NickS
    • 5 years ago
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    If you haven't already, graph the equation on your graphing calculator. As you'll notice, if the limit is appoaching -2 from the left, then the answer will be positive infinity. However, if the limit is approaching -2 from right, then the answer will be -infinity.

  3. anonymous
    • 5 years ago
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    so then instead of looking at the direction of y, I would look at the direction of x?

  4. NickS
    • 5 years ago
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    Does the limit in the problem look something like this? \[\lim_{n \rightarrow -2^+}\]

  5. anonymous
    • 5 years ago
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    \[g(x)=x+7/x ^{2}-4\] \[\lim_{x \rightarrow 2^-} g(x)\]

  6. NickS
    • 5 years ago
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    All right, see how there is a "-" sign above the 2? The negative sign means that the limit is approaching 2 from the left side. If there was a "+" sign above the 2, then the limit would be apporaching 2 from the right side. So, yes, it's how you look at from the direction of x.

  7. anonymous
    • 5 years ago
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    Alright, I getting to understand it, thanks!!

  8. NickS
    • 5 years ago
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    No problem, I'm glad I could help.

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