anonymous
  • anonymous
lim_(x->0^+) (x^2/2-1/x) How do I figure out this problem? Find the limit.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\frac{ x^2 }{ 2-1/x } = \frac{ x^3 }{ 2x-1 }\]
anonymous
  • anonymous
i didn't get your question.
anonymous
  • anonymous
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zepdrix
  • zepdrix
\[\large \lim_{x \rightarrow 0^+} \frac{x^2}{2}-\frac{1}{x}\]As we approach 0 from the right, our function is approaching \[\large \frac{0}{2}-\infty\] Right? :o Since we're on the right side, our x values are all positive. So we end up heading towards negative infinity, due to the subtraction.
zepdrix
  • zepdrix
Do you understand why \(\large \dfrac{1}{x}\) approaches \(\large \infty\) as \(\large x\) approaches \(\large 0\) from the right? That's kinda important to understand with these types of problems. c:
anonymous
  • anonymous
@zepdrix your explanation is clear, thanks.

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