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

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

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

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

0

Solution steps

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

- x^{2}

is negative when

x \to 0

. Therefore

- x^{2} = x^{2}

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

Cancel the common factor:

x

= x \to 0 lim (x)

Plug in the value

x = 0

= 0

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