lim x趋于0 1-cosx^2/x^2sinX^2(1-cosx^2)/x^2sinx^2=[1-1-2sin^2(x^2/2)]/x^2sinx^2=2sin^2(x^2/2)/x^2sinx^2=(x->0)2(x^2/2)^2/x^2*x^2=1/2第二步是怎么来的?(1-cosx^2)/x^2sinx^2①=[1-1-2sin^2(x^2/2)]/x^2sinx^2②=2sin^2(x^2/2)/x^2sinx^2③=(x->0)2
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/03 13:05:44
![lim x趋于0 1-cosx^2/x^2sinX^2(1-cosx^2)/x^2sinx^2=[1-1-2sin^2(x^2/2)]/x^2sinx^2=2sin^2(x^2/2)/x^2sinx^2=(x->0)2(x^2/2)^2/x^2*x^2=1/2第二步是怎么来的?(1-cosx^2)/x^2sinx^2①=[1-1-2sin^2(x^2/2)]/x^2sinx^2②=2sin^2(x^2/2)/x^2sinx^2③=(x->0)2](/uploads/image/z/3739773-21-3.jpg?t=lim+x%E8%B6%8B%E4%BA%8E0+1-cosx%5E2%2Fx%5E2sinX%5E2%281-cosx%5E2%29%2Fx%5E2sinx%5E2%3D%5B1-1-2sin%5E2%28x%5E2%2F2%29%5D%2Fx%5E2sinx%5E2%3D2sin%5E2%28x%5E2%2F2%29%2Fx%5E2sinx%5E2%3D%28x-%3E0%292%28x%5E2%2F2%29%5E2%2Fx%5E2%2Ax%5E2%3D1%2F2%E7%AC%AC%E4%BA%8C%E6%AD%A5%E6%98%AF%E6%80%8E%E4%B9%88%E6%9D%A5%E7%9A%84%3F%281-cosx%5E2%29%2Fx%5E2sinx%5E2%E2%91%A0%3D%5B1-1-2sin%5E2%28x%5E2%2F2%29%5D%2Fx%5E2sinx%5E2%E2%91%A1%3D2sin%5E2%28x%5E2%2F2%29%2Fx%5E2sinx%5E2%E2%91%A2%3D%28x-%3E0%292)
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