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Jan
23
asked Series proof $\sum_1^\infty|a_n|<\infty$ then show that $\sum_1^\infty{a_n^2}<\infty$
Jan
22
awarded  Yearling
Jan
22
revised $\sum_1^\infty{\frac{(-1)^n}{\ln{(2\cosh{n})}}}$ convergence
added 61 characters in body
Jan
22
comment $\sum_1^\infty{\frac{(-1)^n}{\ln{(2\cosh{n})}}}$ convergence
Yes but for absolute ?
Jan
22
asked $\sum_1^\infty{\frac{(-1)^n}{\ln{(2\cosh{n})}}}$ convergence
Jan
22
asked Test convergence of $\sum_{n=2}^\infty{(\ln{n})^{-n}}$
Jan
21
comment $\sum_1^{\infty}\frac{\ln(n)}{n^{5/2}}$ and Cauchy condesation test
$ln(n)<n$ would work too ?
Jan
21
comment $\sum_1^{\infty}\frac{\ln(n)}{n^{5/2}}$ and Cauchy condesation test
cauchy series should start from zero ?
Jan
21
comment $\sum_1^{\infty}\frac{\ln(n)}{n^{5/2}}$ and Cauchy condesation test
so being non-increasing from (random example) $n>5$ it doesnt matter ?
Jan
21
asked $\sum_1^{\infty}\frac{\ln(n)}{n^{5/2}}$ and Cauchy condesation test
Jan
21
accepted Series convergence: $\sum_{n=1}^\infty\frac{\sin{\frac{n\pi}{2}}}{n^{2/3}}$
Jan
21
comment Series convergence: $\sum_{n=1}^\infty\frac{\sin{\frac{n\pi}{2}}}{n^{2/3}}$
great! I'll use that too...
Jan
21
comment Series convergence: $\sum_{n=1}^\infty\frac{\sin{\frac{n\pi}{2}}}{n^{2/3}}$
yes.It seems nice solution. Is there another way to try also ?
Jan
21
asked Series convergence: $\sum_{n=1}^\infty\frac{\sin{\frac{n\pi}{2}}}{n^{2/3}}$
Jan
19
comment A calculus proof for the general term of the Fibonacci sequence
it seems that induction is the calculus proof\
Jan
19
comment A calculus proof for the general term of the Fibonacci sequence
where did characteristic equation came from ?
Jan
19
asked A calculus proof for the general term of the Fibonacci sequence
Jan
18
awarded  Popular Question
Jan
16
accepted Limit of this recursive sequence and convergence
Jan
16
comment Sequence limit and monotony of $a_{n+1}=\sqrt{4a_n+3},a_1=5$
Ok thanks. I guess my poor way I mentioned before $an>-3/4$ is correct too ?