Andrew Stacey @mathforge.org · Oct 14 Oh dear! #ALevelMaths #UKMathsChat #ITeachMaths #mathsky 5 likes 3 replies ? Reply Replies Jim Simons · Oct 15 For me, this illustrates the importance of counterexamples and non-examples in understanding mathematics. Nobody who had ever met e^(-1/x²) would make this mistake even if they have misremembered what the condition really is. Robert Low · Oct 15 Somebody needs to learn about the difference between C^\infty and analytic. Susan Whitehouse · Oct 15 Do you think they actually believe that it converges for all values of x, or do you think there's confusion around the meaning of the word 'valid'?