Evaluate \(\mathop {\lim }\limits_{{\rm{y\;}} \to 0} \frac{{\sqrt {2 + {{\rm{y}}^2}} - {\rm{\;}}\sqrt 2 }}{{{{\rm{y}}^2}}}\)

1
\( \frac{1}{{2\sqrt 2 }}\)
2
\( \frac{1}{{\sqrt 2 }}\)
3
1/2
4
None of the above

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