Math 1B: Worksheet 1 - Sequences and Series Convergence, Assignments of Calculus

Download Math 1B: Worksheet 1 - Sequences and Series Convergence and more Assignments Calculus in PDF only on Docsity! Math 1B: Worksheet 1 Section 11.1: Determine whether the given sequence converges, and if so to what value. 1. an = √ n + 1− √ n 2. an = lnn2 n 3. an = cos2 n 2n 4. an = ln(n + 1)− ln(n) 5. an = (−1)n sin(1/n) 6. an = (1 + 3n)(1/n) 7. an = n! 2n Section 11.2: Determine whether the given series converges, and if so to what value. 1. Σ∞n=1 10 3n 2. Σ∞n=1 5 n 3. Σ∞n=1 n n + 1 4. Σ∞n=1 (−3)n−1 4n 5. Σ∞n=1 1 e2n 6. Σ∞n=1 1 n(n + 2) 7. Σ∞n=1 3n + 2n 6n 8. Σ∞n=1 ln( n n + 1 ) 9. Σ∞n=1 sinn