如图
如下
(1)
lim(x->9) (x-2√x -3)/(x-9)
=lim(x->9) (√x-3)(√x+1)/[(√x-3)(√x+3)]
=lim(x->9) (√x+1)/(√x+3)
=4/6
=2/3
(2)
lim(x->1)) (√x -x^2)/(1-√x) (0/0)
=lim(x->1)) [ 1/(2√x) - 2x] /[-1/(2√x) ]
=lim(x->1)) -[ 1- 4x^(3/2) ]
= -(1-4)
=3
(3)
lim(x->0) (x-sin3x)/(x+sin2x)
=lim(x->0) (x-3x)/(x+2x)
=-2/3
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