Ratio Test
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- Like the root test, the ratio test gives us another method of seeing when a series converges or diverges. And the reason why we introduce this after the root test is that we can…
By Steven Kwon, Panavia Shou, Moor Xu
- By the Comparison Test, if ai<bia_i<b_iai<bi for all positive integers iii and ∑i≥1bi\sum_{i \geq 1}^{} b_i∑i≥1bi converges, then ∑i≥1ai\sum_{i \geq 1}^{} a_i∑i≥1ai also c…
By Ritesh Ragavender, Alex Federspiel
- Overview of the ratio test Sometimes the root test is hard to use, if limn→∞∣an∣1n\lim_{n\to\infty} |a_n|^{\frac{1}{n}}limn→∞∣an∣n1 is hard to evaluate. However, the root te…
By Victor Wang