Does the Best-Fitting Curve Always Exist?

<table>Sequence of lines <svg height="14.325" id="M16" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 17.25 14.325" width="17.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.325)">
<g transform="translate(72,-60.54)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
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<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑛</tspan>
</text>
</g>
</g>
</svg> and the limit line <svg height="10.325" id="M17" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
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</svg>.</table>

International Scholarly Research Notices

Does the Best-Fitting Curve Always Exist?

Figure 1