x 趋向于0 求lim(cos1/x+2/sinx-1/ln(1+x))
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x趋向于0求lim(cos1/x+2/sinx-1/ln(1+x))x趋向于0求lim(cos1/x+2/sinx-1/ln(1+x))x趋向于0求lim(cos1/x+2/sinx-1/ln(1+x
x 趋向于0 求lim(cos1/x+2/sinx-1/ln(1+x))
x 趋向于0 求lim(cos1/x+2/sinx-1/ln(1+x))
x 趋向于0 求lim(cos1/x+2/sinx-1/ln(1+x))
用等价无穷小代换
x趋于0时,sinx替换成x,ln(1+x)也替换成x
极限变形为lim(cos1/x+2/x-1/x)=lim(cos1/x+1/x)=lim(xcos1/x+1)/x
y=cos1/x是个有界函数,无穷小与有界函数的乘积趋于无穷小
xcos1/x趋于0
原极限=lim1/x
左侧都是无穷小,右侧是无穷大,极限不存在.
cos(无穷) 没有极限,所以整个也没有极限
不存在
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