## anonymous 5 years ago how to solve using change of variable: lim x->1 x^1/6 -1 / x^1/3 -1

Let $u = x^1/6$ then $u^2 = x^1/3$ change limit u(1) = 1 lim u --> 1 u-1/(u-1)(u+1) $\lim_{u \rightarrow 1} (1/u+1)=1/2$