计算极限lin下x→3=sin(x-3)/x平方-2x-3

问题描述:

计算极限lin下x→3=sin(x-3)/x平方-2x-3

x→3则x-3→0
sin(x-3)~x-3
lim下x→3 sin(x-3)/(x^2-2x-3)
=limx→3 (x-3)/(x-3)(x+1)
=limx→3 1/(x+1)
=1/4