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Jun
17
comment Need help applying the root test
I thought the abs bars vanished after I took the n'th root of the whole thing...
Jun
17
comment Need help applying the root test
Here's another question - is $\lim_{n\to\infty}|a_n|=|\lim_{n\to\infty} a_n|$? Otherwise I have no idea how things change.
Jun
17
asked Need help applying the root test
Jun
13
comment Difficulty showing convergence or divergence of a sequence using DCT or LCT.
I'm sorry, but I don't know what lim sup is. I haven't learned anything like that yet.
Jun
13
revised Difficulty showing convergence or divergence of a sequence using DCT or LCT.
added 142 characters in body; edited title
Jun
13
asked Difficulty showing convergence or divergence of a sequence using DCT or LCT.
Jun
13
accepted Using either the Direct or Limit Comparison Tests, determine if $\sum_{n=2}^{\infty}\frac{1}{n\sqrt{n^2-1}}$ is convergent or divergent.
Jun
13
comment Using either the Direct or Limit Comparison Tests, determine if $\sum_{n=2}^{\infty}\frac{1}{n\sqrt{n^2-1}}$ is convergent or divergent.
OK, I see it now - there was one example like this in my notes that I overlooked.
Jun
13
comment Using either the Direct or Limit Comparison Tests, determine if $\sum_{n=2}^{\infty}\frac{1}{n\sqrt{n^2-1}}$ is convergent or divergent.
Why $n^2$? I was taught to pick the most dominant term, which appears to be $n$.
Jun
13
comment Using either the Direct or Limit Comparison Tests, determine if $\sum_{n=2}^{\infty}\frac{1}{n\sqrt{n^2-1}}$ is convergent or divergent.
The most dominant term appears to be $n$ though. $\sqrt{n^2}=n$.
Jun
13
asked Using either the Direct or Limit Comparison Tests, determine if $\sum_{n=2}^{\infty}\frac{1}{n\sqrt{n^2-1}}$ is convergent or divergent.
Jun
13
accepted What is the defining characteristic of a quadratic function?
Jun
11
asked What is the defining characteristic of a quadratic function?
Jun
7
accepted what is the meaning of “vector” in the context of algorithms?
Jun
7
comment what is the meaning of “vector” in the context of algorithms?
I think I like tuple in this context too...
Jun
6
asked what is the meaning of “vector” in the context of algorithms?
Jun
6
accepted Determine if vectors are linearly independent
Jun
6
comment Determine if vectors are linearly independent
@AndréNicolas I'm only starting to learn about matrices now... this was taught in this method so I presume this is how I have to do it on the assignment.
Jun
6
asked Determine if vectors are linearly independent
Jun
5
accepted What is the notation for the set of all $m\times n$ matrices?