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

The limit as x approaches 2 of (x+2)/(x^2+4) is 1/2

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

x \to 2 lim (\frac{x + 2}{x ^{2} + 4})

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 2 lim (\frac{x + 2}{x ^{2} + 4})

Plug in the value

x = 2

= \frac{2 + 2}{2 ^{2} + 4}

Simplify

\frac{2 + 2}{2 ^{2} + 4} : \frac{1}{2}

= \frac{1}{2}

x \to 0 lim (e^{\frac{4}{x}})

x \to 4 + lim (x^{2} - 12)

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

x \to 1 + lim ((ln (x))^{x})

x \to - 2 lim (\frac{5 x}{2 x + 4})

What is the limit as x approaches 2 of (x+2)/(x^2+4) ?
The limit as x approaches 2 of (x+2)/(x^2+4) is 1/2