What is the limit as x approaches 1 of (x^2+7x)/x ?

The limit as x approaches 1 of (x^2+7x)/x is 8

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limit as x approaches 1 of (x^2+7x)/x

x \to 1 lim (\frac{x ^{2} + 7 x}{x})

8

Solution steps

x \to 1 lim (\frac{x ^{2} + 7 x}{x})

Plug in the value

x = 1

= \frac{1 ^{2} + 7 \cdot 1}{1}

Simplify

\frac{1 ^{2} + 7 \cdot 1}{1} : 8

= 8

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What is the limit as x approaches 1 of (x^2+7x)/x ?
The limit as x approaches 1 of (x^2+7x)/x is 8