作业帮lim(1-√1+sin^2(x))/x^2,x->0,等於多少?
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lim(1-√1+sin^2(x))/x^2,x->0,等於多少?
lim(1-√1+sin^2(x))/x^2,x->0,等於多少?
lim(1-√1+sin^2(x))/x^2,x->0,等於多少?
上图
lim(1-√1+sin^2(x))/x^2
=lim(-sin^2(x))/[x^2(1+√1+sin^2(x))] ——分子有理化
=lim(-x^2)/[x^2(1+√1+sin^2(x))]——等阶无穷小替换
=lim(-1)/(1+√1+sin^2(x))
=-1/2——带入x=0
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