求极限lim(x趋近于2)(ln(x^2-3)/(x^2-3x+2))_数学解答

求极限lim(x趋近于2)(ln(x^2-3)/(x^2-3x+2))

人气：366 ℃　时间：2019-10-04 12:43:59

解答

lim(x趋近于2)(ln(x^2-3)/(x^2-3x+2))=lim(x趋近于2)(ln(x^2-4+1)/(x-2)(x-1)=lim(x趋近于2)[ln(x^2-4+1)^(1/(x-2))]/(x-1)=lim(x趋近于2)[ln(x^2-4+1)^(1/(x^2-4))*(x+2)]/(x-1)lim(x趋近于2)[ln(x^2-4+1)^(1/(x^2-...