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

The limit as x approaches 0 of x+e^{2x} is 1

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limit as x approaches 0 of x+e^{2x}

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

1

Solution steps

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

Plug in the value

x = 0

= 0 + e^{2 \cdot 0}

Simplify

= 1

x \to 2 lim (\frac{x ^{2} - 4}{x + 1})

x \to 4 - lim (\frac{∣ x - 4 ∣}{4 - x})

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

x \to 1 lim (\frac{1}{1 - e ^{\frac{x}{x - 1}}})

x \to 5 lim (\frac{8}{x - 5})

What is the limit as x approaches 0 of x+e^{2x} ?
The limit as x approaches 0 of x+e^{2x} is 1