$\lim\limits_{x\to0}\frac{e^{2x}-1-2x}{x^2}$ without L'Hôpital Can someone help me to find the following limit without using L'Hôpital ?
$$\lim_{x\to0}\left(\frac{e^{2x}-1-2x}{x^2}\right)$$
Hint: $$e^{2x} = 1 + 2x + \dfrac{(2x)^2}{2!} + o(x^2).$$
this is my try for help you to find the following limit without using L'Hôpital