Question

ques

Answer 1

Is the following ok to do?
\[0<|x|<\delta \implies |x\sin(\frac{1}{x})|<\epsilon\]\[0<|x|<\delta \implies |x|<|\csc(\frac{1}{x})|\epsilon\]
\[\implies \delta=|\csc(\frac{1}{x})|\epsilon\]