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Evaluate lim(xto0) (e^(x)-1-x)/(x^(2))....

Evaluate `lim_(xto0) (e^(x)-1-x)/(x^(2)).`

Text Solution

Verified by Experts

The correct Answer is:
`1//2`
`underset(xto0)lim(e^(x)-1-x)/(x^(2))=underset(xto0)lim((1+(x)/(1!)+(x^(2))/(2!)+...)-1-x)/(x^(2))=1/2`
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