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 (- 0) e^{2 (- 0)} + k (- 0)

Simplify

2 (- 0) e^{2 (- 0)} + k (- 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