What is the limit as x approaches 0 of (2x^2+3x)/x ?

The limit as x approaches 0 of (2x^2+3x)/x is 3

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limit as x approaches 0 of (2x^2+3x)/x

x \to 0 lim (\frac{2 x ^{2} + 3 x}{x})

3

Solution steps

x \to 0 lim (\frac{2 x ^{2} + 3 x}{x})

Simplify

\frac{2 x ^{2} + 3 x}{x} : 2 x + 3

= x \to 0 lim (2 x + 3)

Plug in the value

x = 0

= 2 \cdot 0 + 3

Simplify

= 3

What is the limit as x approaches 0 of (2x^2+3x)/x ?
The limit as x approaches 0 of (2x^2+3x)/x is 3