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

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

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

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

2

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= 3 \cdot 0 + 2

Simplify

= 2

x \to 0 + lim ((1 + 3 x)^{\frac{2}{x}})

x \to 0 lim (\frac{x + 5}{x - 3})

b \to 0 lim (cot (b) - csc (b))

x \to 7 - lim (\frac{x ^{2} - 4 x - 21}{∣ x - 7 ∣})

x \to 0 lim (\frac{x ^{3} - x}{x - 1})

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