Question

Evaluate the limit \(\lim_{x\rightarrow \infty}x^{-\frac{4}{3}}\).

Short answer

\(0\)

Step-by-step solution

Given Infromation

Consider the function \(\lim_{x\rightarrow \infty}x^{-\frac{4}{3}}\).

Evaluate the limit

Let, \(L=\lim_{x\rightarrow \infty}x^{-\frac{4}{3}}\).

\(L=\lim_{x\rightarrow \infty}\frac{1}{x^{\frac{4}{3}}}\).

\(L=\frac{1}{\infty}\).

\(L=0\)