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lim(x,y)趋近于(0,0)[1-cos(x^2+y^2)]/(x^2+y^2)expx^2y^2=?
题目详情
lim(x,y)趋近于(0,0)[1-cos(x^2+y^2)]/(x^2+y^2)expx^2y^2=?
▼优质解答
答案和解析
lim(x,y)趋近于(0,0)[1-cos(x^2+y^2)]/(x^2+y^2)expx^2y^2
=lim(x,y)趋近于(0,0)[1-cos(x^2+y^2)]/(x^2+y^2)
=lim(x趋近于0) (1-cosx)/x
=lim(x趋近于0) sinx/1
=0
=lim(x,y)趋近于(0,0)[1-cos(x^2+y^2)]/(x^2+y^2)
=lim(x趋近于0) (1-cosx)/x
=lim(x趋近于0) sinx/1
=0
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