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              <script type="text/javascript">
  window.MathJax = {
    jax: ["input/TeX", "output/CommonHTML"],
    extensions: ["tex2jax.js"],
    TeX: {
      equationNumbers: { autoNumber: "AMS" },
      extensions: ["AMSmath.js", "AMSsymbols.js", "noErrors.js", "noUndefined.js"]
    },
    /* The MathJax API provides us with the ability to register
    callbacks on signals broadcast during its startup sequence.
    Documentation:
    http://docs.mathjax.org/en/latest/advanced/signals.html
    https://docs.mathjax.org/en/v1.1-latest/startup.html */
    AuthorInit: function() {
      MathJax.Hub.Register.StartupHook("End Typeset", function() {
        const fullFontSize = 121;
        var renderMath = function() {
          /* All formulae that we want to enable responsive scaling
          for need to be wrapped with `class="mj-formula"` */
          var mjFormulae = document.getElementsByClassName("mj-formula");
          if (mjFormulae) {
            for (var i = 0; i < mjFormulae.length; ++i) {
              var mjFormula = mjFormulae[i];

              /* Retrieve the MathJax element `MathJax_CHTML`. If this element
              has a descendant `mjx-table`, the element is a multi-line equation
              with automatic numbering and its scaling factor has to be calculated
              differently. Note: if your output processor is not `CommonHTML`, I
              suspect these class names may be different */
              var mjElement = mjFormula.getElementsByClassName("MathJax_CHTML")[0];
              var mjTable = mjElement.getElementsByClassName("mjx-table")[0];

              /* If the equation is single-line, the scaling factor is a function
              of `MathJax_CHTML`'s offset width. If it's multi-line, it is a
              function of its descendant `mjx-table` */
              var scale = 0.8 * (mjTable ?
                mjFormula.offsetWidth / mjTable.offsetWidth :
                mjFormula.offsetWidth / mjElement.offsetWidth);

              /* Apply the scaling factor to the old font size, rounded to the
              nearest integer, as long as it does not exceed the max font size */
              const oldFontSize = parseInt(mjElement.style.fontSize);
              var newFontSize = Math.round(Math.min(oldFontSize * scale, fullFontSize));
              mjElement.style.fontSize = `${newFontSize}%`;
            }
          }
        }

        /* `renderMath` needs to be called once on the `End Typeset`
        signal broadcast so the scaling is applied on first load */
        renderMath();

        /* Attach an event handler that calls `renderMath` after a small delay */
        var timeoutId;
        const delay = 250;
        window.addEventListener("resize", function() {
          clearTimeout(timeoutId);
          timeoutId = setTimeout(renderMath, delay);
        });
      });
    }
  };
</script>

<body>
  <div class="container">
    <div class="content">
      <h4>Single-line:</h4>
      <div class="mj-formula">
        $$ (1+x)^n = 1 + nx + \frac{n(n-1)}{2!}x^2 + \frac{n(n-1)(n-2)}{3!}x^3 + \frac{n(n-1)(n-2)(n-3)}{4!}x^4 + \ldots $$
      </div>
      <h4>Numbered multi-line:</h4>
      <div class="mj-formula">
        $$\begin{align}
        (1+x)^n &= 1 + nx + \frac{n(n-1)}{2!}x^2 + \frac{n(n-1)(n-2)}{3!}x^3 + \frac{n(n-1)(n-2)(n-3)}{4!}x^4 + \ldots \\
        (1+x)^n &= 1 + nx + \frac{n(n-1)}{2!}x^2 + \frac{n(n-1)(n-2)}{3!}x^3 + \ldots
        \end{align}$$
      </div>
    </div>
  </div>
</body>

            
          
!
            
              body {
  background: black;
  font-family: "Courier New", sans-serif;
}

.container {
  display: -ms-flexbox;
  display: -webkit-flex;
  display: flex;

  -ms-flex-align: center;
  -webkit-align-items: center;
  -webkit-box-align: center;

  align-items: center;
  
  height: 100vh;
}

.content {
  background: white;
  text-align: center;
  
  width: 80%;
  margin: 0 auto;

  border-radius: 10px;
  padding: 10px;
}
            
          
!
999px
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