1.

Evaluate the following lim_(xto0)((3+x)^3-27)/x

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SOLUTION :`lim_(xto0)((3+X)^3-27)/x`
`=lim_(xto0)(27+x^3+27x+9x^2-27)/x`
`=lim_(xto0)(x^3+27x+9x^2)/x`
`=lim_(xto0)(x(x^2+27+9x))/x`
`=lim_(xto0)(x^2+9x+27)=27`


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