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Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = √4n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. The sequence converges to lim a₁ = 0. (Simplify your answer.) A. n-x ... The sequence diverges

Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = √4n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. The sequence converges to lim a₁ = 0. (Simplify your answer.) A. n-x ... The sequence diverges

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
**Question:** Does the sequence \(\{a_n\}\) converge or diverge? Find the limit if the sequence is convergent. \(a_n = \frac{n}{\sqrt{4n}}\) --- **Choices:** Select the correct choice below and, if necessary, fill in the answer box to complete the choice. - **A.** The sequence converges to \(\lim_{{n \to \infty}} a_n = 0.\) (Simplify your answer.) - **B.** The sequence diverges.
Transcribed Image Text:**Question:** Does the sequence \(\{a_n\}\) converge or diverge? Find the limit if the sequence is convergent. \(a_n = \frac{n}{\sqrt{4n}}\) --- **Choices:** Select the correct choice below and, if necessary, fill in the answer box to complete the choice. - **A.** The sequence converges to \(\lim_{{n \to \infty}} a_n = 0.\) (Simplify your answer.) - **B.** The sequence diverges.
Expert Solution
Step 1

The given sequence is;

an=nsqrt(4n).

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Follow-up Question

What is the reason for doing u = e^lnu? How does that work?

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