Lim x -> 1 2x-1/x² lim x ->0 x-1/x²-1 lim x -> 2 √x-2+3/x²+1 lim x -> -1 2-x/1-√x+1

Question

Lim x -> 1 2x-1/x²
lim x ->0 x-1/x²-1
lim x -> 2 √x-2+3/x²+1
lim x -> -1 2-x/1-√x+1

Answer 1

Lim(2x-1/x^2)={2*1-1/1}=1
x->1
lim( (x-1)/(x^2-1) )=-1/(-1)=1
x->0
lim( (√(x-2)  +3/(x2+1) )={√0+3/(0+1)}=3
x->2
lim( (2-x) /(1-√(x+1))={(2+1)/(1-√(-1+1)}=3/1=3
x->-1