(x+2)³=x³+3*x²*2+3*x*2²+2³
(x+2)³=x³+2³+3*x²*2+3*x*2²
(x+2)³=x³+2³+3*x*2*(x+2)
x³+2³= (x+2)³- 6x*(x+2)
x³+2³= (x+2)*[(x+2)²-6x]
x³+8= (x+2)*[x²+4x+4-6x]
x³+8= (x+2)*(x²+4-2x)
###############################
Lim (x³+8)/(x+2)
x-->-2
Lim (x+2)*(x²+4-2x)/(x+2)
Lim (x²+4-2x) =(-2)²+4 -2*(-2) =4 +4+4=12
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(x+2)³=x³+3*x²*2+3*x*2²+2³
(x+2)³=x³+2³+3*x²*2+3*x*2²
(x+2)³=x³+2³+3*x*2*(x+2)
x³+2³= (x+2)³- 6x*(x+2)
x³+2³= (x+2)*[(x+2)²-6x]
x³+8= (x+2)*[x²+4x+4-6x]
x³+8= (x+2)*(x²+4-2x)
###############################
Lim (x³+8)/(x+2)
x-->-2
Lim (x+2)*(x²+4-2x)/(x+2)
x-->-2
Lim (x²+4-2x) =(-2)²+4 -2*(-2) =4 +4+4=12
x-->-2