What is the limit as x approaches 2 of (x^2+3)/(1/x) ?

The limit as x approaches 2 of (x^2+3)/(1/x) is 14

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limit as x approaches 2 of (x^2+3)/(1/x)

x \to 2 lim (\frac{x ^{2} + 3}{\frac{1}{x}})

14

Solution steps

x \to 2 lim (\frac{x ^{2} + 3}{\frac{1}{x}})

Plug in the value

x = 2

= \frac{2 ^{2} + 3}{\frac{1}{2}}

Simplify

\frac{2 ^{2} + 3}{\frac{1}{2}} : 14

= 14

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What is the limit as x approaches 2 of (x^2+3)/(1/x) ?
The limit as x approaches 2 of (x^2+3)/(1/x) is 14