What is the limit as x approaches 0 of 2xe^{2x}+kx ?

The limit as x approaches 0 of 2xe^{2x}+kx is 0

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limit as x approaches 0 of 2xe^{2x}+kx

x \to 0 lim (2 x e^{2 x} + k x)

0

Solution steps

x \to 0 lim (2 x e^{2 x} + k x)

Plug in the value

x = 0

= 2 \cdot 0 \cdot e^{2 \cdot 0} + k \cdot 0

Simplify

2 \cdot 0 \cdot e^{2 \cdot 0} + k \cdot 0 : 0

= 0

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What is the limit as x approaches 0 of 2xe^{2x}+kx ?
The limit as x approaches 0 of 2xe^{2x}+kx is 0