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 Nov 6 accepted Show that the language is not regular using Myhill-Nerode Theorem Oct 22 comment Show that the language is not regular using Myhill-Nerode Theorem Would saying that $a^n$ is infinite show that L is not regular? Oct 22 comment Show that the language is not regular using Myhill-Nerode Theorem Hmm.Based on you updated answer, I'd say that in order to show no 2 strings can be in the same equivalence class, then $S_m=a^nb^m \mid m \in \mathbb{N}, m\neq n \; and \;m \gt 0$. That seems like a way to move forward. Thoughts? Oct 22 comment Show that the language is not regular using Myhill-Nerode Theorem What if I start by saying $S_m=a^mb,\mid m\in\mathbb{N}, m \neq n$? Oct 22 revised Show that the language is not regular using Myhill-Nerode Theorem added 3 characters in body Oct 22 asked Show that the language is not regular using Myhill-Nerode Theorem Sep 24 awarded Autobiographer Sep 6 awarded Notable Question Jul 2 awarded Curious Mar 4 accepted Solution to this Geometric Series Mar 4 asked Solution to this Geometric Series Dec 1 awarded Popular Question Nov 6 awarded Nice Question Oct 1 awarded Yearling Apr 4 comment Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$ I understand that. Thanks. Apr 4 asked prove that the greatest number of regions that $n \geq 1$ circles can divide the plane is $n^2-n+2$ Apr 4 comment Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$ So would the $2-1/k$ on the LHS basically come from $1/k^2<=2-1/k+1/(k+1)^2<=2-1/(k+1)$ omitting the first part of the inequality? Apr 4 accepted Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$ Apr 4 comment Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$ Could you explain the first step for me. I'm confused about where the 2 came from on the LHS. Apr 4 asked Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$