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lim(sin3x-cos3x+1)/tan2xx趋于0
题目详情
lim(sin3x-cos3x+1)/tan2x x趋于0
▼优质解答
答案和解析
lim (sin3x-cos3x+1)/tan2x
= lim sin3x/tan2x + lim(1-cos3x)/tan2x
= lim 3x/2x + lim[(3x)^2/2]/2x
= 3/2 + 9/4 = 15/4
= lim sin3x/tan2x + lim(1-cos3x)/tan2x
= lim 3x/2x + lim[(3x)^2/2]/2x
= 3/2 + 9/4 = 15/4
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