The Integral Test & p-Series (Calculus II)
Free printable university Calculus II worksheet on the integral test: classifying p-series (convergent exactly when p is greater than 1) and applying the test to logarithmic and exponential-decay integrals.
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Calculus II · Math worksheet
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Math
Calculus II: The Integral Test & p-Series
Decide whether each series converges or diverges using the integral test. Remember the p-series rule it gives: Σ 1/n^p converges exactly when p > 1.
- 1.Use the p-series test (from the integral test) to determine whether Σ[n=1 to ∞] 1/ converges or diverges.
- 2.Use the p-series test (from the integral test) to determine whether Σ[n=1 to ∞] 1/ converges or diverges.
- 3.Use the p-series test (from the integral test) to determine whether Σ[n=1 to ∞] 1/ converges or diverges.
- 4.Use the p-series test (from the integral test) to determine whether Σ[n=1 to ∞] 1/ converges or diverges.
- 5.Use the p-series test (from the integral test) to determine whether Σ[n=1 to ∞] 1/n converges or diverges.
- 6.Use the p-series test (from the integral test) to determine whether Σ[n=1 to ∞] 1/√n converges or diverges.
- 7.Use the integral test to determine whether Σ[n=1 to ∞] 1/(5n + 5) converges or diverges.
- 8.Use the integral test to determine whether Σ[n=1 to ∞] 1/(4n + 4) converges or diverges.
- 9.Use the integral test to determine whether Σ[n=1 to ∞] 1/(5n + 3) converges or diverges.
- 10.Use the integral test to determine whether Σ[n=1 to ∞] n· converges or diverges.
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