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数学
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已知f(3)=2,f′(3)=-2,则
lim
x→3
2x-3f(x)
x-3
= ___ .
人气:158 ℃ 时间:2020-04-01 16:08:32
解答
lim
x→3
2x-3f(x)
x-3
=
lim
x→3
2(x-3)-3[f(x)-f(3)]
x-3
=
lim
x→3
2(x-3)
x-3
+
lim
x→3
-3[f(x)-f(3)]
x-3
=2-3f′(3)=8
故答案为:8.
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