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

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

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

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

5

Solution steps

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

Simplify

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

= x \to 0 lim (x + 5)

Plug in the value

x = 0

= 0 + 5

Simplify

= 5

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