Question

Limite de x tendendo a -1 x^3+1/x^2-1

Answer 1

Lim (x³+1)/(x²-1)

x-->-1

***(x+1)³=x³+1+3x+3x²

***(x+1)³=x³+1+3x(x+1)

***x³+1 =(x+1)*[(x+1)²-3x

**x³+1= (x+1)(x²+1-x)

### (x²-1) =(x+1)(x-1)

Lim (x+1)(x²+1-x)/[(x+1)(x-1)]

x-->-1

Lim (x²+1-x)/(x-1)  =(1+1+1)/(-2)  =-3/2

x-->-1