Alternating Series & Absolute vs Conditional Convergence (Calculus II)
Free printable university Calculus II worksheet on alternating series: the alternating series test, and deciding between absolute convergence, conditional convergence and divergence.
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Calculus II · Math worksheet
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Calculus II: Alternating Series & Absolute vs Conditional Convergence
First check whether the terms approach 0 (if not, the series diverges). Then apply the alternating series test, and finally test Σ |aₙ| to decide between absolute and conditional convergence.
- 1.Determine whether the series Σ[n=1 to ∞] / converges absolutely, converges conditionally, or diverges.
- 2.Determine whether the series Σ[n=1 to ∞] / converges absolutely, converges conditionally, or diverges.
- 3.Determine whether the series Σ[n=1 to ∞] /n converges absolutely, converges conditionally, or diverges.
- 4.Determine whether the series Σ[n=1 to ∞] /√n converges absolutely, converges conditionally, or diverges.
- 5.Determine whether the series Σ[n=1 to ∞] /(2n + 6) converges absolutely, converges conditionally, or diverges.
- 6.Determine whether the series Σ[n=1 to ∞] /(5n + 4) converges absolutely, converges conditionally, or diverges.
- 7.Determine whether the series Σ[n=1 to ∞] ·n/(2n + 1) converges absolutely, converges conditionally, or diverges.
- 8.Determine whether the series Σ[n=1 to ∞] ·n/(3n + 5) converges absolutely, converges conditionally, or diverges.
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