\(\mathop {{\rm{lim}}}\limits_{{\rm{y}} \to 0} \frac{{\sqrt {1 + \sqrt {1 + {{\rm{y}}^4}} } - \sqrt 2 }}{{{{\rm{y}}^4}}}\)

Exists and equals \(\frac{1}{{2\sqrt 2 \left( {\sqrt 2 + 1} \right)}}\)

Exists and equals \(\frac{1}{{4\sqrt 2 }}\)

Exists and equals \(\frac{1}{{2\sqrt 2 }}\)

\(\mathop {{\rm{lim}}}\limits_{{\rm{y}} \to 0} \frac{{\sqrt {1 + \sqrt

1.	\(\mathop {{\rm{lim}}}\limits_{{\rm{y}} \to 0} \frac{{\sqrt {1 + \sqrt {1 + {{\rm{y}}^4}} } - \sqrt 2 }}{{{{\rm{y}}^4}}}\)
A.	Exists and equals \(\frac{1}{{4\sqrt 2 }}\)
B.	Exists and equals \(\frac{1}{{2\sqrt 2 \left( {\sqrt 2 + 1} \right)}}\)
C.	Exists and equals \(\frac{1}{{2\sqrt 2 }}\)
D.	Does not exist
Answer» B. Exists and equals \(\frac{1}{{2\sqrt 2 \left( {\sqrt 2 + 1} \right)}}\)

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\(\mathop {{\rm{lim}}}\limits_{{\rm{y}} \to 0} \frac{{\sqrt {1 + \sqrt {1 + {{\rm{y}}^4}} } - \sqrt 2 }}{{{{\rm{y}}^4}}}\)

\(\mathop {{\rm{lim}}}\limits_{{\rm{y}} \to 0} \frac{{\sqrt {1 + \sqrt {1 + {{\rm{y}}^4}} } - \sqrt 2 }}{{{{\rm{y}}^4}}}\)

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