What is the limit as x approaches 0 of (5x^2-2x)/x ?

The limit as x approaches 0 of (5x^2-2x)/x is -2

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limit as x approaches 0 of (5x^2-2x)/x

x \to 0 lim (\frac{5 x ^{2} - 2 x}{x})

- 2

Solution steps

x \to 0 lim (\frac{5 x ^{2} - 2 x}{x})

Simplify

\frac{5 x ^{2} - 2 x}{x} : 5 x - 2

= x \to 0 lim (5 x - 2)

Plug in the value

x = 0

= 5 \cdot 0 - 2

Simplify

= - 2

\int \frac{250}{( x ^{2} + 25 ) ^{2}} d x

y = e^{s i n (x)}

\frac{s - 9}{2 s ^{2} + s + 4}

k = 0 \sum \infty (- 1)^{k}

\frac{c ^{3}}{100} - \frac{1500}{c}

What is the limit as x approaches 0 of (5x^2-2x)/x ?
The limit as x approaches 0 of (5x^2-2x)/x is -2