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
lim x ->0 x-1/x²-1
lim x -> 2 √x-2+3/x²+1
lim x -> -1 2-x/1-√x+1
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Answers & Comments
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