It seems to me that you are just using a normal enumerate
environment to do that.
So, to achieve what you want
Load the package enumitem
and add the optional argument [leftmargin=\labelsep]
to your enumerate
environment as in
\begin{enumerate}[leftmargin=\labelsep]
to have your label in the margin.
Simply use the optional argument of \item
to manually specify your number as in
\item[3.] Let $(x_n)$ be a sequence such that $x_n>0$
MWE (don't load the showframe
package in your document, I've used it just to show the margins)
\documentclass{article}
\usepackage{enumitem}
\usepackage{showframe} % just to show the margins
\begin{document}
\begin{enumerate}[leftmargin=\labelsep]
\item[3.] Let $(x_n)$ be a sequence such that $x_n>0$
\[y_n=\frac{1}{\frac{1}{x_1}+}\]
\begin{enumerate}
\item Suppose that $x_n$ is a convergent
\end{enumerate}
\end{enumerate}
\end{document}
Output

If you instead use [leftmargin=0pt]
you will obtain

while, with [leftmargin=*]
the result is
