The sum of infinite terms of the geometric progression \[\frac{\sqrt{2}+1}{\sqrt{2}-1},\frac{1}{2-\sqrt{2}},\frac{1}{2}.....\] is [Kerala (Engg.) 2002]

\[\sqrt{2}{{(\sqrt{2}+1)}^{2}}\]

The sum of infinite terms of the geometric progression \[\frac{\sqrt{2

1.	The sum of infinite terms of the geometric progression \[\frac{\sqrt{2}+1}{\sqrt{2}-1},\frac{1}{2-\sqrt{2}},\frac{1}{2}.....\] is [Kerala (Engg.) 2002]
A.	\[\sqrt{2}{{(\sqrt{2}+1)}^{2}}\]
B.	\[{{(\sqrt{2}+1)}^{2}}\]
C.	\[5\sqrt{2}\]
D.	\[3\sqrt{2}+\sqrt{5}\]
Answer» B. \[{{(\sqrt{2}+1)}^{2}}\]

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The sum of infinite terms of the geometric progression \[\frac{\sqrt{2}+1}{\sqrt{2}-1},\frac{1}{2-\sqrt{2}},\frac{1}{2}.....\] is [Kerala (Engg.) 2002]

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