質問: the value of `lim_(xto0) (2^(3x)-3^(2x))/x` is the value of `lim_(xto0) (2^(3x)-3^(2x))/x` is
回答: answer: c solution: `underset(xtooo)lim(root(3)(x^(3)+2x^(2))-sqrt(x^(2)+x))` `=underset(xtooo)limx[(1+(2)/(x))^((1)/(3))-(1+(1)/(x))^((1)/(2))]` `=underset(xtooo)limx[(1+(1)/(3).(2)/(x)+...)-(1+(1)/(2).(1)/(x)+...)]` `=underset(xtooo)limx((2)/(3x)-(1)/(2x))` `=(1)/(6)`