lim(x→0)(sec-1)/(x^2/2)的极限怎么求?

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答案和解析

lim(x→0)(secx-1)/(x^2/2) (0/0)
=lim(x→0) (secxtanx)/ x (0/0)
=lim(x→0) [(secx)^3- secx(tanx)^2]
=1

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