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Assignment 03

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Limit of a sequence

Prove that √(4 + 1/n) → 2 using the definition of a limit.

Limits20 min

2025 final exam.pdf · Q1

Question 1

Rationalize the expression

|√(4 + 1/n) − 2|=1/n · 1/(√(4 + 1/n) + 2)

≤ 1 / 4n< ε

Choose N so that 1/4n < ε

N = ⌈1 / 4ε⌉For n > N, the distance is smaller than ε.

The sequence approaches 2

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1. Chapter 1Set up on the webGet startedby Nooc2026Read this chapter (I)
2. Chapter 2Connect your iPadiPadby Nooc2026Read this chapter (II)
3. Chapter 3Study with PenciliPadby Nooc2026Read this chapter (III)
4. Chapter 4SkillsFeaturesby Nooc2026Read this chapter (IV)
5. Chapter 5Code workspaceFeaturesby Nooc2026Read this chapter (V)
6. Chapter 6Quick answersHelpby Nooc2026Read this chapter (VI)

How Nooc fits together

Everything in Nooc hangs off one course. Set it up once, and every surface reads from the same place.

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Where you write by hand. What you send lands in the same course and the same chats.