document.write( "Question 937818: Solve as x approaches 0 lim ((x-2)^3 + 8)/x \n" ); document.write( "

Algebra.Com's Answer #571211 by rothauserc(4718) $\"\"$ $\"About$

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limit as x approaches 0 of ((x-2)^3 + 8)/x is 12
\n" ); document.write( "(x-2)^3 = (x^3 -6x^2 +12x - 8) = x((x-6)x+12) -8
\n" ); document.write( "above result comes from factoring x
\n" ); document.write( "now we can return to our problem
\n" ); document.write( "limit as x approaches 0 of ((x-2)^3 + 8)/x = (x((x-6)x+12) -8 +8) / x = (x((x-6)x+12)) / x = ((x-6)x+12) = 12 as x approaches 0
\n" ); document.write( "above result comes from canceling x from numerator and denominator
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