How can I prove that the function $f$ defined by
$$f(x)=1/[1 + e^{1/\sin({n!{\pi}x})}] $$ Can be made discontinuous at any rational point in$[0,1]$ by a proper choice of $n$.
Plz help me with this.
How can I prove that the function $f$ defined by
$$f(x)=1/[1 + e^{1/\sin({n!{\pi}x})}] $$ Can be made discontinuous at any rational point in$[0,1]$ by a proper choice of $n$.
Plz help me with this.