
这个式子怎么求极限?
展开全部
原式=lim(x->0) (x^2-sin^2x)/(x^2*sin^2x)
=lim(x->0) (x^2-sin^2x)/x^4
=lim(x->0) (2x-sin2x)/4x^3
=lim(x->0) (1-cos2x)/6x^2
=lim(x->0) 2x^2/6x^2
=1/3
=lim(x->0) (x^2-sin^2x)/x^4
=lim(x->0) (2x-sin2x)/4x^3
=lim(x->0) (1-cos2x)/6x^2
=lim(x->0) 2x^2/6x^2
=1/3
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