lim(x平方+1)/(x-1),x趋近于1

问题描述:

lim(x平方+1)/(x-1),x趋近于1

lim{x->1}(x^2-1)/sin(x-1)
=lim{x->1}(x+1)*lim{x->1}(x-1)/sin(x-1)
=2*1
=2

无穷大啊~

lim(x^2+1)/(x-1) 当 x趋近于1 时,x^2+1趋近于 2,x-1趋近于0,所以此式趋近于无穷大.
lim(x^2-1)/(x-1)=lim(x+1) 当 x趋近于1 时,式子趋近于2