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 Nov6 accepted Show that the language is not regular using Myhill-Nerode Theorem Oct22 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? Oct22 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? Oct22 comment Show that the language is not regular using Myhill-Nerode Theorem What if I start by saying $S_m=a^mb,\mid m\in\mathbb{N}, m \neq n$? Oct22 revised Show that the language is not regular using Myhill-Nerode Theorem added 3 characters in body Oct22 asked Show that the language is not regular using Myhill-Nerode Theorem Sep24 awarded Autobiographer Sep6 awarded Notable Question Jul2 awarded Curious Mar26 revised Prove $F_{n+2} \ge x^n$ by induction where $x = (1 + \sqrt{5})/2$ Added note Mar26 revised Prove $F_{n+2} \ge x^n$ by induction where $x = (1 + \sqrt{5})/2$ added 4 characters in body Mar26 asked Prove $F_{n+2} \ge x^n$ by induction where $x = (1 + \sqrt{5})/2$ Mar4 accepted Solution to this Geometric Series Mar4 asked Solution to this Geometric Series Dec1 awarded Popular Question Nov6 awarded Nice Question Oct1 awarded Yearling Apr4 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. Apr4 asked prove that the greatest number of regions that $n \geq 1$ circles can divide the plane is $n^2-n+2$ Apr4 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?