What is the limit as x approaches 0 of (3x)/(4-x^2) ?

The limit as x approaches 0 of (3x)/(4-x^2) is 0

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limit as x approaches 0 of (3x)/(4-x^2)

x \to 0 lim (\frac{3 x}{4 - x ^{2}})

0

Solution steps

x \to 0 lim (\frac{3 x}{4 - x ^{2}})

Plug in the value

x = 0

= \frac{3 \cdot 0}{4 - 0 ^{2}}

Simplify

= 0

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

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

x \to 1 lim (ln (6 x) + e^{x})

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

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

What is the limit as x approaches 0 of (3x)/(4-x^2) ?
The limit as x approaches 0 of (3x)/(4-x^2) is 0