Assignment 11: Sequences and Series

A. Yes, it converges to π²/6 B. No, it diverges C. It converges to 1 D. It converges to 0

A. Divergent B. Convergent to 1 C. Convergent to e D. Conditionally convergent

A. R = ∞ B. R = 1 C. R = 0 D. R = e

A. aₙ is decreasing and lim aₙ = 0 B. aₙ > 0 for all n C. lim aₙ = 0 only D. aₙ is increasing

A. Σ(xⁿ/n!) from n=0 to ∞ B. Σ(xⁿ) from n=0 to ∞ C. Σ(n·xⁿ) from n=0 to ∞ D. Σ(xⁿ/(n+1)!) from n=0 to ∞