求lim(x趋向于3时)sin(x-3)/(x的平方减9)

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求lim(x趋向于3时)sin(x-3)/(x的平方减9)求lim(x趋向于3时)sin(x-3)/(x的平方减9)求lim(x趋向于3时)sin(x-3)/(x的平方减9)lim(x趋向于3)sin

求lim(x趋向于3时)sin(x-3)/(x的平方减9)
求lim(x趋向于3时)sin(x-3)/(x的平方减9)

求lim(x趋向于3时)sin(x-3)/(x的平方减9)
lim(x趋向于3) sin(x-3)/(x*x-9)=lim(x趋向于3) sin(x-3)/[(x-3)(x+3)]
=[lim(x趋向于3) sin(x-3)/(x-3)]*[lim(x趋向于3)1/(x+3) ]
=1*1/6
=1/6