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

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

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

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

5

Solution steps

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

Simplify

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

= x \to 0 lim (5 + x)

Plug in the value

x = 0

= 5 + 0

Simplify

= 5

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