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 positive 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

\frac{d}{d x} (2 sec (cos (x)) + 2 tan (2 x))

x \to 5 lim (\frac{x ^{2} + k x - 20}{x - 5})

(1, 128), (4, 161)

\frac{d}{d x} (ln (- \frac{1}{x}))

y^{^{'}} = 0.0875 - \frac{7 y}{2000}, y (0) = 50

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