极值怎么求
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极值怎么求
极值怎么求
极值怎么求
lim(x→0) cotx/cot2x
=lim(x→0) tan2x/tanx
=lim(x→0) 2x/x
=2
lim(x→0) x^sinx
=lim(x→0) e^[ln(x^sinx)]
=e^ lim(x→0) sinx*lnx
=e^ lim(x→0) xlnx.等价无穷小替换
=e^ lim(x→0) (lnx)/(1/x)
=e^ lim(x→0) (1/x)/(-1/x²).洛必达法则
=e^ lim(x→0) (-x)
=e^0
=1