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

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

Text Solution

Verified by Experts

The correct Answer is:
1
`underset(xto0)lim(e^(x)+e^(-x)-2)/(x^(2))" "`(form 0/0)
`=underset(xto0)lim(1)/(e^(x))((e^(x)-1)/(x))^(2)`
=1
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