求lim┬(x→0)〖(〖sin〗^2 x/2)/x^2

2014-09-16 5:35 pm
求lim┬(x→0)⁡〖(〖sin〗^2 x/2)/x^2


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回答 (1)

2014-09-16 5:58 pm
✔ 最佳答案
Sol
lim(x->0)_Sin^2 (x/2)/x^2
=(1/2)*lim(x->0)_2Sin^2 (x/2)/x^2
=(1/2)*lim(x->0)_(1-Cosx)/x^2 0/0 type
=(1/2)*lim(x->0)_Sinx/(2x) . 0/0 type
=(1/2)*lim(x->0)_Cosx/2
=1/4




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