Examples not uniformly continuous functions| f(x)=sin(1/x) is not uniformly continuous on (0 1)

[@MathematicsMadeSimple1]

Nice explanation. You could also choose $\epsilon = 1/2$, which makes life much easier for strict inequality.

[@AmjadKhanAmjad-m6g]

Mam is it true for close interval also?

[@farzeenshakir2136]

1/x converge or diverge?

[@andrefonseca6577]

Diverge

[@Khadim-hk4gr]

Mam, please ASAP❤❤❤❤