What is the limit as x approaches 0 of ((9x^2-2x))/x ?

The limit as x approaches 0 of ((9x^2-2x))/x is -2

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limit as x approaches 0 of ((9x^2-2x))/x

x \to 0 lim (\frac{( 9 x ^{2} - 2 x )}{x})

- 2

Solution steps

x \to 0 lim (\frac{9 x ^{2} - 2 x}{x})

Simplify

\frac{9 x ^{2} - 2 x}{x} : 9 x - 2

= x \to 0 lim (9 x - 2)

Plug in the value

x = 0

= 9 \cdot 0 - 2

Simplify

= - 2

\frac{d}{d x} (\frac{x ^{2} - 1}{2 x - 3})

\int_{0}^{1} (x - x^{k}) d x

\int \frac{x ^{2} + 1}{x ^{3} + 3 x ^{2} - 4} d x

x \to - 2 lim (x + 1)

y^{^{'}} = e^{9 x} - 8 x

What is the limit as x approaches 0 of ((9x^2-2x))/x ?
The limit as x approaches 0 of ((9x^2-2x))/x is -2