limx→2(x/2)^1/(x-2)

题目详情

limx→2(x/2)^1/(x-2)

▼优质解答

答案和解析

L=lim(x->2) (x/2)^1/(x-2)
lnL = lim(x->2) ln(x/2) /(x-2) (0/0)
=lim(x->2) (1/x)
=1/2
L = e^(1/2)
ie
lim(x->2) (x/2)^1/(x-2) =e^(1/2)

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