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11.因为-1≤sin(1/x)≤1，所以，
lim【x→0】xsin(1/x)=0
12.lim【x→∞】(1-2/x)^(x/3)
=lim【x→∞】[1+(-2/x)]^[(-x/2)(-2/3)
=lim【x→∞】[1+(-2/x)]^[(-x/2)lim【x→∞】[1+(-2/x)]^(-2/3)
=e
13.y'(x)=(4-2x)/(4x-x^2)
y'(1)=(4-2*1)/(4*1-1^2)
=2/3
14.dy=dx+cosxdx
15.y'=(3/2)x^(1/2)-e^(-x)
=3/(4√x)+e^(-x)
16.f(x)=-sin(lnx)/x
17.0
18.xlnx
lim【x→0】xsin(1/x)=0
12.lim【x→∞】(1-2/x)^(x/3)
=lim【x→∞】[1+(-2/x)]^[(-x/2)(-2/3)
=lim【x→∞】[1+(-2/x)]^[(-x/2)lim【x→∞】[1+(-2/x)]^(-2/3)
=e
13.y'(x)=(4-2x)/(4x-x^2)
y'(1)=(4-2*1)/(4*1-1^2)
=2/3
14.dy=dx+cosxdx
15.y'=(3/2)x^(1/2)-e^(-x)
=3/(4√x)+e^(-x)
16.f(x)=-sin(lnx)/x
17.0
18.xlnx
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