What is the limit as x approaches 0 of (3x)/(e^{4x)} ?

The limit as x approaches 0 of (3x)/(e^{4x)} is 0

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limit as x approaches 0 of (3x)/(e^{4x)}

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

0

Solution steps

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

Plug in the value

x = 0

= \frac{3 \cdot 0}{e ^{4 \cdot 0}}

Simplify

\frac{3 \cdot 0}{e ^{4 \cdot 0}} : 0

= 0

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What is the limit as x approaches 0 of (3x)/(e^{4x)} ?
The limit as x approaches 0 of (3x)/(e^{4x)} is 0