Exam 2 Review I. Sequences 1anl 1. an = 22n+1e 2. an = (-1)n / n2 + 1 / n2 + 2n - 5 3. an = sinn / n + 2 4. an = ntan (1 n ) 5.
![I don't understand this explanation for \sum_(n=0)^\infty((-1)^n)/(5n-1)? Why test for convergence/divergence AGAIN, if the Limit Comparison Test confirms that both series are the same? | Socratic I don't understand this explanation for \sum_(n=0)^\infty((-1)^n)/(5n-1)? Why test for convergence/divergence AGAIN, if the Limit Comparison Test confirms that both series are the same? | Socratic](https://useruploads.socratic.org/GElC3TZCSVu1KUh19XCf_lateximg.png)
I don't understand this explanation for \sum_(n=0)^\infty((-1)^n)/(5n-1)? Why test for convergence/divergence AGAIN, if the Limit Comparison Test confirms that both series are the same? | Socratic
![calculus - Determine whether the series $ \ \sum_{n=1}^{\infty} (-1^n) (1 - \frac{1}{n})^{n^2} $ converges absolutely, or converges conditionally, or diverges. - Mathematics Stack Exchange calculus - Determine whether the series $ \ \sum_{n=1}^{\infty} (-1^n) (1 - \frac{1}{n})^{n^2} $ converges absolutely, or converges conditionally, or diverges. - Mathematics Stack Exchange](https://i.stack.imgur.com/iL6nI.jpg)
calculus - Determine whether the series $ \ \sum_{n=1}^{\infty} (-1^n) (1 - \frac{1}{n})^{n^2} $ converges absolutely, or converges conditionally, or diverges. - Mathematics Stack Exchange
![SOLVED: 6 points) Determine whether the following series converge or diverge, and state why: If the series converges; find its sum 1+3n 5n n=l 2n 1 4n + 3 n=1 n(n + SOLVED: 6 points) Determine whether the following series converge or diverge, and state why: If the series converges; find its sum 1+3n 5n n=l 2n 1 4n + 3 n=1 n(n +](https://cdn.numerade.com/ask_images/f36b5248892b483a86139f4d2fa38a51.jpg)
SOLVED: 6 points) Determine whether the following series converge or diverge, and state why: If the series converges; find its sum 1+3n 5n n=l 2n 1 4n + 3 n=1 n(n +
![real analysis - Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$ - Mathematics Stack Exchange real analysis - Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/dqX3t.png)
real analysis - Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$ - Mathematics Stack Exchange
![complex analysis - Does infinite product $ \prod ( 1 - \frac{1}{2^n} ) $ diverge to 0 or converge - Mathematics Stack Exchange complex analysis - Does infinite product $ \prod ( 1 - \frac{1}{2^n} ) $ diverge to 0 or converge - Mathematics Stack Exchange](https://i.stack.imgur.com/Rq40W.jpg)