What is the limit as x approaches 0 of (2x)/(x^2+4) ?

The limit as x approaches 0 of (2x)/(x^2+4) is 0

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limit as x approaches 0 of (2x)/(x^2+4)

x \to 0 lim (\frac{2 x}{x ^{2} + 4})

0

Solution steps

x \to 0 lim (\frac{2 x}{x ^{2} + 4})

Plug in the value

x = 0

= \frac{2 \cdot 0}{0 ^{2} + 4}

Simplify

= 0

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

x \to \frac{64}{37} lim ([\frac{x}{5}])

x \to 0 lim (\frac{12}{x})

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

x \to 0 lim (\frac{1}{x ^{6}})

What is the limit as x approaches 0 of (2x)/(x^2+4) ?
The limit as x approaches 0 of (2x)/(x^2+4) is 0