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

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

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

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

0

Solution steps

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

Cancel the common factor:

x

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

Plug in the value

x = 0

= \frac{0}{2}

Apply rule

\frac{0}{a} = 0, a \neq = 0

= 0

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