find-the-limit-x-a-lim-x-1-3-x-1-2-a-1-3-a-1-2-

Question Number 195195 by Mr.D.N. last updated on 26/Jul/23

find the limit :

\underset{x \to a}{\overset{\lim}{}} \frac{\boldsymbol x^{\frac{1}{3}}}{\boldsymbol x^{\frac{1}{2}}} - \frac{\boldsymbol a^{\frac{1}{3}}}{\boldsymbol a^{\frac{1}{2}}}

Commented by Frix last updated on 26/Jul/23

Obviously 0

Answered by som(math1967) last updated on 27/Jul/23

\underset{\boldsymbol x \to \boldsymbol a}{l i m} \frac{1}{\boldsymbol x^{\frac{1}{6}}} - \frac{1}{\boldsymbol a^{\frac{1}{6}}}

\frac{1}{\boldsymbol a^{\frac{1}{6}}} - \frac{1}{\boldsymbol a^{\frac{1}{6}}} = 0