Lim x->inf ((3x+4)/3x-1))^(2x+7)

Lim x->inf ((3x+4)/(3x-1))^(2x+7)=Lim x->inf (1+5/(3x-1))^(2x+7)=Lim x->inf ((1+5/(3x-1))^((3x-1)/5))^(5·(2x+7)/(3x-1))=e^(10/3)