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Evaluate lim(xto0^(-)) (x^(2)-3x+2)/(x^(...

Evaluate `lim_(xto0^(-)) (x^(2)-3x+2)/(x^(3)-2x^(2)).`

Text Solution

Verified by Experts

`underset(xto0^(-))lim(x^(2)-3x+2)/(x^(3)-2x^(2)).`
`=underset(hto0)lim((-h)^(2)-3(-h)+2)/((-h)^(3)-2(-h)^(2))=-underset(hto0)lim(h^(2)+3h+2)/(h^(3)+2h^(2)`
When `hto0,` and Denominator`to0`
`:." "` L tends to `-oo`
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