求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2)

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求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2)求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2)求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2)显

求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2)
求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2)

求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2)
显然在x趋向于0时,
分子ln(1+x^2)趋向于ln1=0,
而分母sin(1+x^2)趋向于sin1,

所以极限
lim(x趋向于0) ln(1+x^2)/sin(1+x^2)
= 0/sin1
= 0