agent154
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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?