find-lim-x-0-e-sin-2-x-e-x-3-2x-x-2-

Question Number 92079 by mathmax by abdo last updated on 04/May/20

f i n d {l i m}_{x \to 0} \frac{e^{{s i n}^{2} x} - e^{x^{3} - 2 x}}{x^{2}}

Commented by john santu last updated on 05/May/20

\lim_{x \to 0} \frac{\sin 2 x e^{\sin^{2} x} - (3 x^{2} - 2) e^{x^{3} - 2 x}}{2 x}

\lim_{x \to 0} e^{\sin^{2} x} (\frac{\sin 2 x}{2 x}) - \lim_{x \to 0} e^{x^{3} - 2 x} (\frac{3 x^{2} - 2}{2 x})

D NE