Question

Lim x→0 (x²+x)/x

Lim x→ -1 (x²+x)/x

Lim x→ -1 (x²-1)/x+1

Answer 1

》Lim x→0 (x²+x)/x
Lim x→0 x(x+1)/x
Lim x→0 x+1
0+1=1
》Lim x→ -1 (x²+x)/x
Lim x→-1 x(x+1)/x
Lim x→-1 x+1
-1+1=0
》Lim x→ -1 (x²-1)/x+1
Lim x→ -1 (x-1)(x+1)/x+1
Lim x→ -1 (x-1)
-1-1=-2