What is the limit as x approaches 0 of x/(2x) ?

The limit as x approaches 0 of x/(2x) is 1/2

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limit as x approaches 0 of x/(2x)

x \to 0 lim (\frac{x}{2 x})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to 0 lim (\frac{x}{2 x})

Cancel the common factor:

x

= x \to 0 lim (\frac{1}{2})

x \to a lim c = c

= \frac{1}{2}

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What is the limit as x approaches 0 of x/(2x) ?
The limit as x approaches 0 of x/(2x) is 1/2