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Evaluate lim(x to 0) (sinx+log(1-x))/(x^...

Evaluate `lim_(x to 0) (sinx+log(1-x))/(x^(2)).`

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`underset(xto0)lim(sinx+log(1-x))/(x^(2))" "`(0/0 from)
`=underset(xto0)lim((x-(x^(3))/(3!)+x^(5)/(5!)-* * * )+(-x-(x^(2))/(2)-(x^(3))/(3)-* * * ))/(x^(2))`
`=underset(xto0)lim((-x^(2))/(2)-x^(3)((1)/(3!)+(1)/(3))-(x^(4))/(4)...)/(x^(2))=-1/2`
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