lim(x趋向0) x^2 / (sin^2) * - 知识问答

lim(x趋向0) x^2 / (sin^2) * x/3

1个回答

x→0
lim x^2 / sin^2(x/3)
=lim 9*x^2/9 / sin^2(x/3)
=9*lim (x/3)^2 / sin^2(x/3)
=9*lim [(x/3) / sin(x/3)]^2
=9*[lim (x/3) / sin(x/3)]^2
根据重要的极限：lim sinx/x=1
=9*1^2
=9
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