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Evaluate lim(hto0) [(1)/((h)(8+h)^(1/3))...

Evaluate `lim_(hto0) [(1)/((h)(8+h)^(1/3))-(1)/(2h)].`

Text Solution

Verified by Experts

The correct Answer is:
`-1//48`
`underset(hto0)lim[(2-root(3)(8+h)]/(2hroot(3)(8+h))]=-underset(hto0)lim[((1+(h)/(8))^(1//3)-1)/(8.(h)/(8)root(3)(8+h))]`
`=-(1)/(48)`
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