What is the limit as x approaches 2 of (x^2+12)/(2x) ?

The limit as x approaches 2 of (x^2+12)/(2x) is 4

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limit as x approaches 2 of (x^2+12)/(2x)

x \to 2 lim (\frac{x ^{2} + 12}{2 x})

4

Solution steps

x \to 2 lim (\frac{x ^{2} + 12}{2 x})

Plug in the value

x = 2

= \frac{2 ^{2} + 12}{2 \cdot 2}

Simplify

= 4

x \to 0 lim ((1 - \frac{x}{3})^{\frac{2}{x}})

x \to 0 lim (cos (11 x))

x \to 1 lim (e^{x^{2}})

x \to (0) lim (x^{2})

x \to 2 lim (arctan (x))

What is the limit as x approaches 2 of (x^2+12)/(2x) ?
The limit as x approaches 2 of (x^2+12)/(2x) is 4