回答:
#lim_(xtooo)log(4 + 5x) - log(x-1)= log(5)#
说明:
#lim_(xtooo)log(4 + 5x) - log(x-1)= lim_(xtooo)log((4 + 5x)/(x-1))#
使用链规则:
#lim_(xtooo)日志((4 + 5×)/(X-1))= lim_(utoa)日志(lim_(xtooo)(4 + 5×)/(X-1))#
#lim_(xtooo)(AX + B)/(CX + d)= A / C#
#lim_(xtooo)(5×+ 4)/(X-1)= 5#
#lim_(uto5)日志(U)= LOG5#