SME
Calculus II · Problem type
Converges or diverges?
Use this for “Does Σ from n = 1 to ∞ of 1 ÷ (n² + 4) converge? Name the test.”
Sort
Does it converge? Name the test that decides it.
Tap a card, then tap its group.
Look first at what the terms do as n grows, then at the powers, the factorials and the signs.
Assumptions
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Every series starts at n = 1. A series converges when its partial sums approach a finite number.
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If the terms do not approach 0, the series diverges (the nth-term test); terms → 0 alone proves nothing.
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Tests: p-series (converges when p > 1), geometric (when |r| < 1), comparison, ratio and alternating series.
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