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

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

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

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

2

Solution steps

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

Simplify

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

= x \to 0 lim (x + 2)

Plug in the value

x = 0

= 0 + 2

Simplify

= 2

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