lim(1-x)/(x2-1) x趋向于1

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lim(1-x)/(x2-1)x趋向于1lim(1-x)/(x2-1)x趋向于1lim(1-x)/(x2-1)x趋向于1lim(1-x)/(x2-1)=lim(1-x)/[(x-1)(x+1)]因为x

lim(1-x)/(x2-1) x趋向于1
lim(1-x)/(x2-1) x趋向于1

lim(1-x)/(x2-1) x趋向于1
lim(1-x)/(x2-1)
=lim(1-x)/[(x-1)(x+1)]
因为x≠1,所以约分
=lim-1/(x+1)
x趋向于1

=lim-1/(1+1)
=-1/2

分两种情况分析,当x>1时,其值是-1/2,当x<1时,是1/2,最后得出结果也就分这两种情况