Question

求极限计算,麻烦写下步骤1.lim(x²/x²-1)^xx→∞2.lim[(√3-x)-(√1+x)

Answer 1

1.

=lim(x->∞)exp[x/(x^2-1)]=exp[lim(x->∞)x/(x^2-1)]=exp(0)=1

2.

=lim(x->1)[(3-x)-(1+x)]/{(x^2-1)[(√3-x)+(√1+x)]}=-2/[4√2]=-√2/4