Question

Solve the limit \(\lim_{x\rightarrow \infty}x^{-\frac{2}{3}}\).

Short answer

\(0\)

Step-by-step solution

Given Information

Consider the limits \(\lim_{x\rightarrow \infty}x^{-\frac{2}{3}}\).

Evaluate the limit

Let, \(L=\lim_{x\rightarrow \infty}x^{-\frac{2}{3}}\)

\(L=\lim_{x\rightarrow \infty}\frac{1}{x^{\frac{2}{3}}}\)

\(L=\lim_{x\rightarrow \infty} \frac{1}{\infty}\)

\(L=0\)