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\begin{aligned}
\left\|w_1\right\|^2 & =100^2+0.02^2=10000.0004 \\
\left\|w_2\right\|^2 & =100^2+0^2=10000 \\
\left\|w_3\right\|^2 & =99.99^2+0.02^2=9998.0005
\end{aligned}

$\text { L2-regularization selects w3. }$
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