lim[1-cos(x^2+y^2)/(x^2+y^2)x^2y^2](x,y都是趋近于0的
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lim[1-cos(x^2+y^2)/(x^2+y^2)x^2y^2](x,y都是趋近于0的lim[1-cos(x^2+y^2)/(x^2+y^2)x^2y^2](x,y都是趋近于0的lim[1-co
lim[1-cos(x^2+y^2)/(x^2+y^2)x^2y^2](x,y都是趋近于0的
lim[1-cos(x^2+y^2)/(x^2+y^2)x^2y^2](x,y都是趋近于0的
lim[1-cos(x^2+y^2)/(x^2+y^2)x^2y^2](x,y都是趋近于0的
令u=x^2+y^2 ,当x,y 趋近0时,U也趋近于0
原式=LIM(1-cosu)/ux^2y^2=lim(1-cos^2u)/u^2x^2y^2(1+cosu)=lim (sinu/u)^2/(1+cosu)x^2y^2
limsinu/u=1 上式=lim1/(1+cosu)(xy)^2 当u趋近于0 cosu=1
上式=lim1/2(xy)^2=无穷大
1
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lim[1-cos(x^2+y^2)/(x^2+y^2)x^2y^2](x,y都是趋近于0的
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