求limx趋于0(sin2x+cosx)^1/x

题目详情

▼优质解答

答案和解析

limx趋于0(sin2x+cosx)^1/x
=limx趋于0(1+sin2x+cosx-1)^1/x
=e^[lim(x->0)(sin2x+cosx-1)/x]
=e^[lim(x->0)(2cos2x-sinx)/1]
=e^2

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