![SOLVED:The Cauchy condensation test says: Let {an} be a nonincreasing sequence (an ≥an+1 for all n) of positive terms that converges to 0 . Then ∑an converges if and only if ∑2^n SOLVED:The Cauchy condensation test says: Let {an} be a nonincreasing sequence (an ≥an+1 for all n) of positive terms that converges to 0 . Then ∑an converges if and only if ∑2^n](https://cdn.numerade.com/previews/fd379d03-849c-4c97-bf76-81d29b3f7db0.gif)
SOLVED:The Cauchy condensation test says: Let {an} be a nonincreasing sequence (an ≥an+1 for all n) of positive terms that converges to 0 . Then ∑an converges if and only if ∑2^n
![Andrzej Kukla on X: "In calculus we are often interested in checking whether a certain series converges or diverges. One of the most interesting ways is the Cauchy Condensation Test. Its name Andrzej Kukla on X: "In calculus we are often interested in checking whether a certain series converges or diverges. One of the most interesting ways is the Cauchy Condensation Test. Its name](https://pbs.twimg.com/media/F68mEwDWEAEZ4d6.jpg)
Andrzej Kukla on X: "In calculus we are often interested in checking whether a certain series converges or diverges. One of the most interesting ways is the Cauchy Condensation Test. Its name
![SOLVED: Theorem 2.4.6 (Cauchy Condensation Test): Suppose (bn) is decreasing and satisfies bn > 0 for all n ∈ N. Then, the series Σ(1/bn) converges if and only if the series Σ(2^nb2^n) SOLVED: Theorem 2.4.6 (Cauchy Condensation Test): Suppose (bn) is decreasing and satisfies bn > 0 for all n ∈ N. Then, the series Σ(1/bn) converges if and only if the series Σ(2^nb2^n)](https://cdn.numerade.com/ask_images/a64dbaa3107c41469b1713b3e1e29340.jpg)
SOLVED: Theorem 2.4.6 (Cauchy Condensation Test): Suppose (bn) is decreasing and satisfies bn > 0 for all n ∈ N. Then, the series Σ(1/bn) converges if and only if the series Σ(2^nb2^n)
![Help Please - Proving a result using Cauchy's Condensation Test and p series. (Senior Undergraduate Analysis) : r/learnmath Help Please - Proving a result using Cauchy's Condensation Test and p series. (Senior Undergraduate Analysis) : r/learnmath](https://external-preview.redd.it/HkGjFhUttsyDMpMfXeu5_Ers_id74z-6kHNGd6JE1Jo.jpg?auto=webp&s=4fc19c9d59c6619705086af4e88dfa261e372ae7)