\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{{{x}^{2}}+{{a}^{2}}}-\sqrt{{{x}^{2}}+{{b}^{2}}}}{\sqrt{{{x}^{2}}+{{c}^{2}}}-\sqrt{{{x}^{2}}+{{d}^{2}}}}=\]

\[\frac{{{a}^{2}}+{{b}^{2}}}{{{c}^{2}}-{{d}^{2}}}\]

\[\frac{{{a}^{2}}-{{b}^{2}}}{{{c}^{2}}-{{d}^{2}}}\]

\[\frac{{{a}^{2}}+{{b}^{2}}}{{{c}^{2}}+{{d}^{2}}}\]

\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{{{x}^{2}}+{{a}^

1.	\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{{{x}^{2}}+{{a}^{2}}}-\sqrt{{{x}^{2}}+{{b}^{2}}}}{\sqrt{{{x}^{2}}+{{c}^{2}}}-\sqrt{{{x}^{2}}+{{d}^{2}}}}=\]
A.	\[\frac{{{a}^{2}}-{{b}^{2}}}{{{c}^{2}}-{{d}^{2}}}\]
B.	\[\frac{{{a}^{2}}+{{b}^{2}}}{{{c}^{2}}-{{d}^{2}}}\]
C.	\[\frac{{{a}^{2}}+{{b}^{2}}}{{{c}^{2}}+{{d}^{2}}}\]
D.	None of these
Answer» B. \[\frac{{{a}^{2}}+{{b}^{2}}}{{{c}^{2}}-{{d}^{2}}}\]

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\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{{{x}^{2}}+{{a}^{2}}}-\sqrt{{{x}^{2}}+{{b}^{2}}}}{\sqrt{{{x}^{2}}+{{c}^{2}}}-\sqrt{{{x}^{2}}+{{d}^{2}}}}=\]

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