lim(1+x/n+x2/2n2)的-n次方=

题目详情

lim(1 +x/n+ x2/2n2)的-n次方=

▼优质解答

答案和解析

=e^ lim (-n)·ln(1 +x/n+ x2/2n2)
=e^ lim (-n)·(x/n+ x2/2n2) 【等价无穷小代换】
=e^ lim (-1)·(x+ x²/2n)
=e^ (-x)
= 1/e^x

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