Why does Excel fail to properly evaluate $ \lim_{x \to 0} \frac{x(e^x+1)-2(e^x-1)}{x^3} $? https://ift.tt/34DnDHh

I have this limit: $$ \lim_{x \to 0} \frac{x(e^x+1)-2(e^x-1)}{x^3} $$ By using L'Hospital rule and Maclaurin expansion I both found that limit equals to $1/6$.

I want to simulate this to my student by Excel but I failed. This is my computation in Excel.

I did not know why Excel doesn't work in this situation?

Please help me. Thanks alot.

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Nguyen van tien