Linda

 Jun 22 awarded Notable Question Apr 10 awarded Nice Question Jul 4 awarded Popular Question Jul 2 awarded Curious May 12 accepted Application of dominated convergence theorem May 12 asked Application of dominated convergence theorem May 10 accepted Examples of absolutely continuous functions that are not Lipschitz. May 6 asked Examples of absolutely continuous functions that are not Lipschitz. May 6 accepted The interior of a connected set in $\mathbb R^k$ May 6 comment continuity of the Thomae function@DavidMitra: Thanks. I am asking because, the above facts were asked in the same question that asked to show that $t(x)$ has the stated properties. Showing that $t(x)$ is continuous at the irrationals is bit daunting I think. May 6 comment continuity of the Thomae function@DavidMitra: Since $\mathbb Q$ is an $F_\sigma$ and the set of discontinuities of any function is an $F_\sigma$ set, can't I say that $t(x)$ is discontinuous at the rationals? May 5 accepted How to show that a sequence converges pointwise. May 5 accepted How to show that the set of points of continuity is a $G_{\delta}$ May 5 asked The interior of a connected set in $\mathbb R^k$ May 4 accepted Showing that $f$ is measurable. May 2 comment Showing that $f$ is measurable.@FortuonPaendrag: please, if you don't mind...thank you. Perhaps, you could post your summations as an answer. May 2 comment Showing that $f$ is measurable.Thanks to you both for the explanation. May 2 comment Showing that $f$ is measurable.@FortuonPaendrag: why must they converge to $d$? May 2 comment Showing that $f$ is measurable.@FortuonPaendrag: it was a typo. I fixed it. does it look okay? May 2 asked Showing that $f$ is measurable.