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

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

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

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

8

Solution steps

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

Plug in the value

x = 7

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

Simplify

= 8

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