Respuesta :

[tex]\begin{gathered} \text{when x=-0.03} \\ \frac{e^{-0.03}-1}{-0.03}=0.985 \\ \text{when x=-0.02} \\ \frac{e^{-0.02}-1}{-0.02}=0.99 \\ \text{when x=-0.01} \\ \frac{e^{-0.01}-1}{-0.01}=0.995 \\ \text{when x=0.01} \\ \frac{e^{0.01}-1}{0.01}=1.005 \\ \text{when x=0.02} \\ \frac{e^{0.02}-1}{0.02}=1.01 \\ \text{when x=0.03} \\ \frac{e^{0.03}-1}{0.03}=1.015 \\ hence,\text{ } \\ \lim _{x\to0}\frac{e^x-1}{x}=1 \end{gathered}[/tex]

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