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Chapter 5: Q.1TB (page 477)

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

Short Answer

Expert verified

\(0\)

Step by step solution

01

Given Information

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

02

Evaluate the limit

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

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

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

\(L=0\)

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