## malibugranprix2000 2 years ago lim_(x->0^+) (x^2/2-1/x) How do I figure out this problem? Find the limit.

1. Yahoo!

$\frac{ x^2 }{ 2-1/x } = \frac{ x^3 }{ 2x-1 }$

2. Mamoona_akbar

3. malibugranprix2000

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4. 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.

5. 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:

6. malibugranprix2000

@zepdrix your explanation is clear, thanks.

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