anonymous
  • anonymous
why is this -infinity
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
(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?
NickS
  • NickS
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.
anonymous
  • anonymous
so then instead of looking at the direction of y, I would look at the direction of x?

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NickS
  • NickS
Does the limit in the problem look something like this? \[\lim_{n \rightarrow -2^+}\]
anonymous
  • anonymous
\[g(x)=x+7/x ^{2}-4\] \[\lim_{x \rightarrow 2^-} g(x)\]
NickS
  • NickS
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.
anonymous
  • anonymous
Alright, I getting to understand it, thanks!!
NickS
  • NickS
No problem, I'm glad I could help.

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