回答:
#lim_(xtooo)log(4 + 5x) - log(x-1)= log(5)#
説明:
#lim_(xtooo)log(4 + 5x) - log(x-1)= lim_(xtooo)log((4 + 5x)/(x-1))#
連鎖ルールを使用する:
#lim_(xtooo)log((4 + 5x)/(x-1))= lim_(utoa)log(lim_(xtooo)(4 + 5x)/(x-1))#
#lim_(xtooo)(ax + b)/(cx + d)= a / c#
#lim_(xtooo)(5x + 4)/(x-1)= 5#
#lim_(uto5)log(u)= log5#