Unit 10 Practice: Sequences and Series

数列与级数 练习

1. The sequence aₙ = 1/n converges to:

2. The geometric series Σ(rⁿ) converges when:

3. The integral test can be applied to determine convergence of Σ(1/n²) because:

4. The Maclaurin series for eˣ is:

5. The interval of convergence of Σ xⁿ/n is:

6. The Taylor series of f(x) centered at a is:

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