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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

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

Simplify

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

= 0

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

x \to \infty lim ([0, + x])

x \to 1 + lim (x^{\frac{3}{x - 1}})

x \to 0 - lim (x (\frac{1}{x}))

x \to 4 lim (3 x (x + 5))

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