Question

lim x→0 (√(1-x²)-1)/x²

Answer 1

=Lim(√(1-x²)-1)(√(1-x²)+1)/(x²(√(1-x²)+1))=lim(1-x²-1)/(x²(√(1-x²)+1))=
lim(-x²)/(x²(√(1-x²)+1))= -1/2