?(a) How large do we have to take x so that \(1 / \sqrt{x}<0.0001\) ?(b) Taking

Chapter 2, Problem 76

(choose chapter or problem)

(a) How large do we have to take x so that \(1 / \sqrt{x}<0.0001\) ?

(b) Taking \(r=\frac{1}{2}\) in Theorem 5 , we have the statement

\(\lim \limits_{x \rightarrow \infty} \frac{1}{\sqrt{x}}=0\)

Prove this directly using Definition 7.

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