Question

O valor do lim tendo a 2 x2-x2 -2x/x2-3x+2

Answer 1

lim x→2 = x³-x²-2x/x²-3x+2



lim x→2 = x.(x²-x-2)/x²-3x+2

lim x→2 = x.(x²+x-2x-2)/x²-2x-x+2

lim x→2 = x.(x.(x+1)-2x-2)/x.(x-1)-2.(x-1)

lim x→2 = x.(x.(x+1)-2(x+1)/(x-1).(x-2)

lim x→2 = x.(x+1).(x-2)/(x-1).(x-2)

lim x→2 = x.(x+1)/(x-1)

lim x→2 = x²+x/x-1

lim x→2 = 2²+2/2-1 = 6