Almost Dividing By 0

Calculus Level 1

lim ⁡ x → 0 x 2 x = ? \lim_{x \rightarrow 0} \frac{x } { 2x } = \, ?

As x x approaches 0, what does the value of this fraction approach?

0 0 2 2 ∞ \infty It's undefined. 1 2 \frac{1}{2}

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Zandra Vinegar by Zandra Vinegar

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2 solutions

Jonathan Yang
Jan 19, 2016

We can use L'Hopital's rule and take the derivative of the numerator and denominator to get 1/2.

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Drex Beckman
Jan 2, 2016

You simply factor out the x's: x 2 x \frac{x}{2x} becomes 1 2 \frac{1}{2}

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