lim _ x→ 0 e ^ x 1 x x ^ 2 #160; lim _ x→ 0 e ^ x 1 2x #160; =lim _ x→ 0 e ^ x 2 #160; = 1 2 ...

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Property 2

x→ 0 Lt e x -...

Question

$L t x \to 0 \frac{e^{x} - 1 - x}{x^{2}}$

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Solution

${lim}_{x \to 0} \frac{e^{x} - 1 - x}{x^{2}}$
${lim}_{x \to 0} \frac{e^{x} - 1}{2 x} = {lim}_{x \to 0} \frac{e^{x}}{2} = \frac{1}{2}$

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