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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

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

Simplify

\frac{4 \cdot 0}{2 \cdot 0 ^{2} + e} : 0

= 0

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